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Finding the Fourth Proportional to 18,411.24, 25,407.68 and 10,027.76

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Solution

The fourth proportional to 18,411.24, 25,407.68 and 10,027.76 is: 13,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411.24 : 25,407.68 = 10,027.76 : x
  2. Step 2: Convert to fraction form
    18,411.24/25,407.68 = 10,027.76/x
  3. Step 3: Cross multiply
    18,411.24x = 25,407.68 × 10,027.76
  4. Step 4: Simplify right side
    18,411.24x = 254,782,117.20
  5. Step 5: Solve for x
    x = 254,782,117.20/18,411.24
  6. Step 6: Final answer
    x = 13,838.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.