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Finding the Fourth Proportional to 14,534.98, 20,061.32 and 9,228.66

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Solution

The fourth proportional to 14,534.98, 20,061.32 and 9,228.66 is: 12,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.98 : 20,061.32 = 9,228.66 : x
  2. Step 2: Convert to fraction form
    14,534.98/20,061.32 = 9,228.66/x
  3. Step 3: Cross multiply
    14,534.98x = 20,061.32 × 9,228.66
  4. Step 4: Simplify right side
    14,534.98x = 185,139,101.43
  5. Step 5: Solve for x
    x = 185,139,101.43/14,534.98
  6. Step 6: Final answer
    x = 12,737.49

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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.