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Finding the Fourth Proportional to 25,722.30, 38,583.45 and 7,254.30

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Solution

The fourth proportional to 25,722.30, 38,583.45 and 7,254.30 is: 10,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722.30 : 38,583.45 = 7,254.30 : x
  2. Step 2: Convert to fraction form
    25,722.30/38,583.45 = 7,254.30/x
  3. Step 3: Cross multiply
    25,722.30x = 38,583.45 × 7,254.30
  4. Step 4: Simplify right side
    25,722.30x = 279,895,921.34
  5. Step 5: Solve for x
    x = 279,895,921.34/25,722.30
  6. Step 6: Final answer
    x = 10,881.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.