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Finding the Fourth Proportional to 17,759.20, 24,502.08 and 10,307.20

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Solution

The fourth proportional to 17,759.20, 24,502.08 and 10,307.20 is: 14,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.20 : 24,502.08 = 10,307.20 : x
  2. Step 2: Convert to fraction form
    17,759.20/24,502.08 = 10,307.20/x
  3. Step 3: Cross multiply
    17,759.20x = 24,502.08 × 10,307.20
  4. Step 4: Simplify right side
    17,759.20x = 252,547,838.98
  5. Step 5: Solve for x
    x = 252,547,838.98/17,759.20
  6. Step 6: Final answer
    x = 14,220.68

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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.