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Finding the Fourth Proportional to 18,102.84, 24,955.76 and 12,708.86

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Solution

The fourth proportional to 18,102.84, 24,955.76 and 12,708.86 is: 17,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.84 : 24,955.76 = 12,708.86 : x
  2. Step 2: Convert to fraction form
    18,102.84/24,955.76 = 12,708.86/x
  3. Step 3: Cross multiply
    18,102.84x = 24,955.76 × 12,708.86
  4. Step 4: Simplify right side
    18,102.84x = 317,159,071.71
  5. Step 5: Solve for x
    x = 317,159,071.71/18,102.84
  6. Step 6: Final answer
    x = 17,519.85

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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.