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Finding the Fourth Proportional to 14,098.12, 19,456.10 and 7,810.52

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Solution

The fourth proportional to 14,098.12, 19,456.10 and 7,810.52 is: 10,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.12 : 19,456.10 = 7,810.52 : x
  2. Step 2: Convert to fraction form
    14,098.12/19,456.10 = 7,810.52/x
  3. Step 3: Cross multiply
    14,098.12x = 19,456.10 × 7,810.52
  4. Step 4: Simplify right side
    14,098.12x = 151,962,258.17
  5. Step 5: Solve for x
    x = 151,962,258.17/14,098.12
  6. Step 6: Final answer
    x = 10,778.90

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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.