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Finding the Fourth Proportional to 22,965.59, 31,695.98 and 14,018.30

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Solution

The fourth proportional to 22,965.59, 31,695.98 and 14,018.30 is: 19,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.59 : 31,695.98 = 14,018.30 : x
  2. Step 2: Convert to fraction form
    22,965.59/31,695.98 = 14,018.30/x
  3. Step 3: Cross multiply
    22,965.59x = 31,695.98 × 14,018.30
  4. Step 4: Simplify right side
    22,965.59x = 444,323,527.86
  5. Step 5: Solve for x
    x = 444,323,527.86/22,965.59
  6. Step 6: Final answer
    x = 19,347.36

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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.