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Finding the Fourth Proportional to 14,070.78, 21,098.38 and 5,756.64

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Solution

The fourth proportional to 14,070.78, 21,098.38 and 5,756.64 is: 8,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.78 : 21,098.38 = 5,756.64 : x
  2. Step 2: Convert to fraction form
    14,070.78/21,098.38 = 5,756.64/x
  3. Step 3: Cross multiply
    14,070.78x = 21,098.38 × 5,756.64
  4. Step 4: Simplify right side
    14,070.78x = 121,455,778.24
  5. Step 5: Solve for x
    x = 121,455,778.24/14,070.78
  6. Step 6: Final answer
    x = 8,631.77

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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.