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Finding the Fourth Proportional to 18,085.60, 24,956.76 and 10,126

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Solution

The fourth proportional to 18,085.60, 24,956.76 and 10,126 is: 13,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,085.60 : 24,956.76 = 10,126 : x
  2. Step 2: Convert to fraction form
    18,085.60/24,956.76 = 10,126/x
  3. Step 3: Cross multiply
    18,085.60x = 24,956.76 × 10,126
  4. Step 4: Simplify right side
    18,085.60x = 252,712,151.76
  5. Step 5: Solve for x
    x = 252,712,151.76/18,085.60
  6. Step 6: Final answer
    x = 13,973.11

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Why These Related Problems?

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