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Finding the Fourth Proportional to 16,864.40, 25,302.98 and 7,002.86

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Solution

The fourth proportional to 16,864.40, 25,302.98 and 7,002.86 is: 10,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.40 : 25,302.98 = 7,002.86 : x
  2. Step 2: Convert to fraction form
    16,864.40/25,302.98 = 7,002.86/x
  3. Step 3: Cross multiply
    16,864.40x = 25,302.98 × 7,002.86
  4. Step 4: Simplify right side
    16,864.40x = 177,193,117.52
  5. Step 5: Solve for x
    x = 177,193,117.52/16,864.40
  6. Step 6: Final answer
    x = 10,506.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.