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Finding the Fourth Proportional to 14,184.96, 19,572.54 and 9,148.20

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Solution

The fourth proportional to 14,184.96, 19,572.54 and 9,148.20 is: 12,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.96 : 19,572.54 = 9,148.20 : x
  2. Step 2: Convert to fraction form
    14,184.96/19,572.54 = 9,148.20/x
  3. Step 3: Cross multiply
    14,184.96x = 19,572.54 × 9,148.20
  4. Step 4: Simplify right side
    14,184.96x = 179,053,510.43
  5. Step 5: Solve for x
    x = 179,053,510.43/14,184.96
  6. Step 6: Final answer
    x = 12,622.77

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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.