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Finding the Fourth Proportional to 14,027.59, 19,358.45 and 7,978.83

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Solution

The fourth proportional to 14,027.59, 19,358.45 and 7,978.83 is: 11,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.59 : 19,358.45 = 7,978.83 : x
  2. Step 2: Convert to fraction form
    14,027.59/19,358.45 = 7,978.83/x
  3. Step 3: Cross multiply
    14,027.59x = 19,358.45 × 7,978.83
  4. Step 4: Simplify right side
    14,027.59x = 154,457,781.61
  5. Step 5: Solve for x
    x = 154,457,781.61/14,027.59
  6. Step 6: Final answer
    x = 11,011.00

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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.