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Finding the Fourth Proportional to 17,695.76, 24,419.72 and 10,146.50

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Solution

The fourth proportional to 17,695.76, 24,419.72 and 10,146.50 is: 14,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.76 : 24,419.72 = 10,146.50 : x
  2. Step 2: Convert to fraction form
    17,695.76/24,419.72 = 10,146.50/x
  3. Step 3: Cross multiply
    17,695.76x = 24,419.72 × 10,146.50
  4. Step 4: Simplify right side
    17,695.76x = 247,774,764.11
  5. Step 5: Solve for x
    x = 247,774,764.11/17,695.76
  6. Step 6: Final answer
    x = 14,001.93

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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.