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Finding the Fourth Proportional to 18,526.40, 25,564 and 11,359.52

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Solution

The fourth proportional to 18,526.40, 25,564 and 11,359.52 is: 15,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.40 : 25,564 = 11,359.52 : x
  2. Step 2: Convert to fraction form
    18,526.40/25,564 = 11,359.52/x
  3. Step 3: Cross multiply
    18,526.40x = 25,564 × 11,359.52
  4. Step 4: Simplify right side
    18,526.40x = 290,394,769.28
  5. Step 5: Solve for x
    x = 290,394,769.28/18,526.40
  6. Step 6: Final answer
    x = 15,674.65

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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.