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Finding the Fourth Proportional to 21,407.69, 29,549.37 and 14,702.70

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Solution

The fourth proportional to 21,407.69, 29,549.37 and 14,702.70 is: 20,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.69 : 29,549.37 = 14,702.70 : x
  2. Step 2: Convert to fraction form
    21,407.69/29,549.37 = 14,702.70/x
  3. Step 3: Cross multiply
    21,407.69x = 29,549.37 × 14,702.70
  4. Step 4: Simplify right side
    21,407.69x = 434,455,522.30
  5. Step 5: Solve for x
    x = 434,455,522.30/21,407.69
  6. Step 6: Final answer
    x = 20,294.37

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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.