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Finding the Fourth Proportional to 24,352.14, 36,510.40 and 7,702.86

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Solution

The fourth proportional to 24,352.14, 36,510.40 and 7,702.86 is: 11,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.14 : 36,510.40 = 7,702.86 : x
  2. Step 2: Convert to fraction form
    24,352.14/36,510.40 = 7,702.86/x
  3. Step 3: Cross multiply
    24,352.14x = 36,510.40 × 7,702.86
  4. Step 4: Simplify right side
    24,352.14x = 281,234,602.96
  5. Step 5: Solve for x
    x = 281,234,602.96/24,352.14
  6. Step 6: Final answer
    x = 11,548.66

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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.