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Finding the Fourth Proportional to 21,417.62, 29,569.72 and 13,764

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Solution

The fourth proportional to 21,417.62, 29,569.72 and 13,764 is: 19,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.62 : 29,569.72 = 13,764 : x
  2. Step 2: Convert to fraction form
    21,417.62/29,569.72 = 13,764/x
  3. Step 3: Cross multiply
    21,417.62x = 29,569.72 × 13,764
  4. Step 4: Simplify right side
    21,417.62x = 406,997,591.67
  5. Step 5: Solve for x
    x = 406,997,591.67/21,417.62
  6. Step 6: Final answer
    x = 19,002.93

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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.