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Finding the Fourth Proportional to 24,862.17, 37,259.16 and 13,152

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Solution

The fourth proportional to 24,862.17, 37,259.16 and 13,152 is: 19,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.17 : 37,259.16 = 13,152 : x
  2. Step 2: Convert to fraction form
    24,862.17/37,259.16 = 13,152/x
  3. Step 3: Cross multiply
    24,862.17x = 37,259.16 × 13,152
  4. Step 4: Simplify right side
    24,862.17x = 490,032,472.32
  5. Step 5: Solve for x
    x = 490,032,472.32/24,862.17
  6. Step 6: Final answer
    x = 19,709.96

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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.