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Finding the Fourth Proportional to 25,858.16, 38,793 and 14,165.36

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Solution

The fourth proportional to 25,858.16, 38,793 and 14,165.36 is: 21,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.16 : 38,793 = 14,165.36 : x
  2. Step 2: Convert to fraction form
    25,858.16/38,793 = 14,165.36/x
  3. Step 3: Cross multiply
    25,858.16x = 38,793 × 14,165.36
  4. Step 4: Simplify right side
    25,858.16x = 549,516,810.48
  5. Step 5: Solve for x
    x = 549,516,810.48/25,858.16
  6. Step 6: Final answer
    x = 21,251.20

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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.