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Finding the Fourth Proportional to 23,802.10, 35,703.15 and 12,138.10

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Solution

The fourth proportional to 23,802.10, 35,703.15 and 12,138.10 is: 18,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.10 : 35,703.15 = 12,138.10 : x
  2. Step 2: Convert to fraction form
    23,802.10/35,703.15 = 12,138.10/x
  3. Step 3: Cross multiply
    23,802.10x = 35,703.15 × 12,138.10
  4. Step 4: Simplify right side
    23,802.10x = 433,368,405.02
  5. Step 5: Solve for x
    x = 433,368,405.02/23,802.10
  6. Step 6: Final answer
    x = 18,207.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.