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Finding the Fourth Proportional to 24,711.72, 37,072.16 and 8,702.88

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Solution

The fourth proportional to 24,711.72, 37,072.16 and 8,702.88 is: 13,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.72 : 37,072.16 = 8,702.88 : x
  2. Step 2: Convert to fraction form
    24,711.72/37,072.16 = 8,702.88/x
  3. Step 3: Cross multiply
    24,711.72x = 37,072.16 × 8,702.88
  4. Step 4: Simplify right side
    24,711.72x = 322,634,559.82
  5. Step 5: Solve for x
    x = 322,634,559.82/24,711.72
  6. Step 6: Final answer
    x = 13,055.93

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1.5x scale

Why These Related Problems?

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