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Finding the Fourth Proportional to 14,384.18, 19,842.57 and 9,900.15

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Solution

The fourth proportional to 14,384.18, 19,842.57 and 9,900.15 is: 13,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.18 : 19,842.57 = 9,900.15 : x
  2. Step 2: Convert to fraction form
    14,384.18/19,842.57 = 9,900.15/x
  3. Step 3: Cross multiply
    14,384.18x = 19,842.57 × 9,900.15
  4. Step 4: Simplify right side
    14,384.18x = 196,444,400.78
  5. Step 5: Solve for x
    x = 196,444,400.78/14,384.18
  6. Step 6: Final answer
    x = 13,656.97

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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.