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Finding the Fourth Proportional to 23,802.10, 35,705.51 and 8,813.22

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Solution

The fourth proportional to 23,802.10, 35,705.51 and 8,813.22 is: 13,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.10 : 35,705.51 = 8,813.22 : x
  2. Step 2: Convert to fraction form
    23,802.10/35,705.51 = 8,813.22/x
  3. Step 3: Cross multiply
    23,802.10x = 35,705.51 × 8,813.22
  4. Step 4: Simplify right side
    23,802.10x = 314,680,369.93
  5. Step 5: Solve for x
    x = 314,680,369.93/23,802.10
  6. Step 6: Final answer
    x = 13,220.70

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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.