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Finding the Fourth Proportional to 12,454.16, 18,681.50 and 4,658.72

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Solution

The fourth proportional to 12,454.16, 18,681.50 and 4,658.72 is: 6,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.16 : 18,681.50 = 4,658.72 : x
  2. Step 2: Convert to fraction form
    12,454.16/18,681.50 = 4,658.72/x
  3. Step 3: Cross multiply
    12,454.16x = 18,681.50 × 4,658.72
  4. Step 4: Simplify right side
    12,454.16x = 87,031,795.92
  5. Step 5: Solve for x
    x = 87,031,795.92/12,454.16
  6. Step 6: Final answer
    x = 6,988.17

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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.