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Finding the Fourth Proportional to 15,657.84, 21,614.04 and 9,369

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Solution

The fourth proportional to 15,657.84, 21,614.04 and 9,369 is: 12,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.84 : 21,614.04 = 9,369 : x
  2. Step 2: Convert to fraction form
    15,657.84/21,614.04 = 9,369/x
  3. Step 3: Cross multiply
    15,657.84x = 21,614.04 × 9,369
  4. Step 4: Simplify right side
    15,657.84x = 202,501,940.76
  5. Step 5: Solve for x
    x = 202,501,940.76/15,657.84
  6. Step 6: Final answer
    x = 12,932.94

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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.