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Finding the Fourth Proportional to 14,830.40, 20,471.18 and 9,169.52

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Solution

The fourth proportional to 14,830.40, 20,471.18 and 9,169.52 is: 12,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.40 : 20,471.18 = 9,169.52 : x
  2. Step 2: Convert to fraction form
    14,830.40/20,471.18 = 9,169.52/x
  3. Step 3: Cross multiply
    14,830.40x = 20,471.18 × 9,169.52
  4. Step 4: Simplify right side
    14,830.40x = 187,710,894.43
  5. Step 5: Solve for x
    x = 187,710,894.43/14,830.40
  6. Step 6: Final answer
    x = 12,657.17

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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.