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Finding the Fourth Proportional to 12,532.95, 18,872.64 and 9,269.01

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Solution

The fourth proportional to 12,532.95, 18,872.64 and 9,269.01 is: 13,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.95 : 18,872.64 = 9,269.01 : x
  2. Step 2: Convert to fraction form
    12,532.95/18,872.64 = 9,269.01/x
  3. Step 3: Cross multiply
    12,532.95x = 18,872.64 × 9,269.01
  4. Step 4: Simplify right side
    12,532.95x = 174,930,688.89
  5. Step 5: Solve for x
    x = 174,930,688.89/12,532.95
  6. Step 6: Final answer
    x = 13,957.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.