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Finding the Fourth Proportional to 14,070.86, 21,098.50 and 5,756.72

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Solution

The fourth proportional to 14,070.86, 21,098.50 and 5,756.72 is: 8,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.86 : 21,098.50 = 5,756.72 : x
  2. Step 2: Convert to fraction form
    14,070.86/21,098.50 = 5,756.72/x
  3. Step 3: Cross multiply
    14,070.86x = 21,098.50 × 5,756.72
  4. Step 4: Simplify right side
    14,070.86x = 121,458,037.04
  5. Step 5: Solve for x
    x = 121,458,037.04/14,070.86
  6. Step 6: Final answer
    x = 8,631.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.