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Finding the Fourth Proportional to 15,651.84, 21,592.32 and 9,024

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Solution

The fourth proportional to 15,651.84, 21,592.32 and 9,024 is: 12,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,651.84 : 21,592.32 = 9,024 : x
  2. Step 2: Convert to fraction form
    15,651.84/21,592.32 = 9,024/x
  3. Step 3: Cross multiply
    15,651.84x = 21,592.32 × 9,024
  4. Step 4: Simplify right side
    15,651.84x = 194,849,095.68
  5. Step 5: Solve for x
    x = 194,849,095.68/15,651.84
  6. Step 6: Final answer
    x = 12,448.96

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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.