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Finding the Fourth Proportional to 14,129.13, 19,498.14 and 7,841.52

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Solution

The fourth proportional to 14,129.13, 19,498.14 and 7,841.52 is: 10,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.13 : 19,498.14 = 7,841.52 : x
  2. Step 2: Convert to fraction form
    14,129.13/19,498.14 = 7,841.52/x
  3. Step 3: Cross multiply
    14,129.13x = 19,498.14 × 7,841.52
  4. Step 4: Simplify right side
    14,129.13x = 152,895,054.77
  5. Step 5: Solve for x
    x = 152,895,054.77/14,129.13
  6. Step 6: Final answer
    x = 10,821.26

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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.