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Finding the Fourth Proportional to 17,920.10, 24,730.02 and 10,368.14

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Solution

The fourth proportional to 17,920.10, 24,730.02 and 10,368.14 is: 14,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.10 : 24,730.02 = 10,368.14 : x
  2. Step 2: Convert to fraction form
    17,920.10/24,730.02 = 10,368.14/x
  3. Step 3: Cross multiply
    17,920.10x = 24,730.02 × 10,368.14
  4. Step 4: Simplify right side
    17,920.10x = 256,404,309.56
  5. Step 5: Solve for x
    x = 256,404,309.56/17,920.10
  6. Step 6: Final answer
    x = 14,308.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.