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Finding the Fourth Proportional to 25,752.68, 35,526 and 16,204.16

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Solution

The fourth proportional to 25,752.68, 35,526 and 16,204.16 is: 22,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.68 : 35,526 = 16,204.16 : x
  2. Step 2: Convert to fraction form
    25,752.68/35,526 = 16,204.16/x
  3. Step 3: Cross multiply
    25,752.68x = 35,526 × 16,204.16
  4. Step 4: Simplify right side
    25,752.68x = 575,668,988.16
  5. Step 5: Solve for x
    x = 575,668,988.16/25,752.68
  6. Step 6: Final answer
    x = 22,353.75

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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.