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Finding the Fourth Proportional to 17,756.16, 24,505.76 and 10,686.40

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Solution

The fourth proportional to 17,756.16, 24,505.76 and 10,686.40 is: 14,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.16 : 24,505.76 = 10,686.40 : x
  2. Step 2: Convert to fraction form
    17,756.16/24,505.76 = 10,686.40/x
  3. Step 3: Cross multiply
    17,756.16x = 24,505.76 × 10,686.40
  4. Step 4: Simplify right side
    17,756.16x = 261,878,353.66
  5. Step 5: Solve for x
    x = 261,878,353.66/17,756.16
  6. Step 6: Final answer
    x = 14,748.59

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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.