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Finding the Fourth Proportional to 12,397.16, 17,088.42 and 12,151.40

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Solution

The fourth proportional to 12,397.16, 17,088.42 and 12,151.40 is: 16,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.16 : 17,088.42 = 12,151.40 : x
  2. Step 2: Convert to fraction form
    12,397.16/17,088.42 = 12,151.40/x
  3. Step 3: Cross multiply
    12,397.16x = 17,088.42 × 12,151.40
  4. Step 4: Simplify right side
    12,397.16x = 207,648,226.79
  5. Step 5: Solve for x
    x = 207,648,226.79/12,397.16
  6. Step 6: Final answer
    x = 16,749.66

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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.