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Finding the Fourth Proportional to 22,952.77, 31,657.84 and 14,888.41

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Solution

The fourth proportional to 22,952.77, 31,657.84 and 14,888.41 is: 20,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.77 : 31,657.84 = 14,888.41 : x
  2. Step 2: Convert to fraction form
    22,952.77/31,657.84 = 14,888.41/x
  3. Step 3: Cross multiply
    22,952.77x = 31,657.84 × 14,888.41
  4. Step 4: Simplify right side
    22,952.77x = 471,334,901.63
  5. Step 5: Solve for x
    x = 471,334,901.63/22,952.77
  6. Step 6: Final answer
    x = 20,534.99

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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.