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Finding the Fourth Proportional to 14,129, 19,498.02 and 7,842.62

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Solution

The fourth proportional to 14,129, 19,498.02 and 7,842.62 is: 10,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129 : 19,498.02 = 7,842.62 : x
  2. Step 2: Convert to fraction form
    14,129/19,498.02 = 7,842.62/x
  3. Step 3: Cross multiply
    14,129x = 19,498.02 × 7,842.62
  4. Step 4: Simplify right side
    14,129x = 152,915,561.61
  5. Step 5: Solve for x
    x = 152,915,561.61/14,129
  6. Step 6: Final answer
    x = 10,822.82

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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.