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Finding the Fourth Proportional to 15,700.24, 21,657.32 and 9,802

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Solution

The fourth proportional to 15,700.24, 21,657.32 and 9,802 is: 13,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.24 : 21,657.32 = 9,802 : x
  2. Step 2: Convert to fraction form
    15,700.24/21,657.32 = 9,802/x
  3. Step 3: Cross multiply
    15,700.24x = 21,657.32 × 9,802
  4. Step 4: Simplify right side
    15,700.24x = 212,285,050.64
  5. Step 5: Solve for x
    x = 212,285,050.64/15,700.24
  6. Step 6: Final answer
    x = 13,521.13

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