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Finding the Fourth Proportional to 24,702.60, 37,053.90 and 13,643.40

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Solution

The fourth proportional to 24,702.60, 37,053.90 and 13,643.40 is: 20,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.60 : 37,053.90 = 13,643.40 : x
  2. Step 2: Convert to fraction form
    24,702.60/37,053.90 = 13,643.40/x
  3. Step 3: Cross multiply
    24,702.60x = 37,053.90 × 13,643.40
  4. Step 4: Simplify right side
    24,702.60x = 505,541,179.26
  5. Step 5: Solve for x
    x = 505,541,179.26/24,702.60
  6. Step 6: Final answer
    x = 20,465.10

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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.