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Finding the Fourth Proportional to 22,842.79, 31,526.95 and 13,288.22

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Solution

The fourth proportional to 22,842.79, 31,526.95 and 13,288.22 is: 18,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.79 : 31,526.95 = 13,288.22 : x
  2. Step 2: Convert to fraction form
    22,842.79/31,526.95 = 13,288.22/x
  3. Step 3: Cross multiply
    22,842.79x = 31,526.95 × 13,288.22
  4. Step 4: Simplify right side
    22,842.79x = 418,937,062.20
  5. Step 5: Solve for x
    x = 418,937,062.20/22,842.79
  6. Step 6: Final answer
    x = 18,340.01

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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.