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Finding the Fourth Proportional to 14,561.40, 21,842.10 and 4,702.13

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Solution

The fourth proportional to 14,561.40, 21,842.10 and 4,702.13 is: 7,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.40 : 21,842.10 = 4,702.13 : x
  2. Step 2: Convert to fraction form
    14,561.40/21,842.10 = 4,702.13/x
  3. Step 3: Cross multiply
    14,561.40x = 21,842.10 × 4,702.13
  4. Step 4: Simplify right side
    14,561.40x = 102,704,284.46
  5. Step 5: Solve for x
    x = 102,704,284.46/14,561.40
  6. Step 6: Final answer
    x = 7,053.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.