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Finding the Fourth Proportional to 15,586.76, 23,345.28 and 7,254.30

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Solution

The fourth proportional to 15,586.76, 23,345.28 and 7,254.30 is: 10,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.76 : 23,345.28 = 7,254.30 : x
  2. Step 2: Convert to fraction form
    15,586.76/23,345.28 = 7,254.30/x
  3. Step 3: Cross multiply
    15,586.76x = 23,345.28 × 7,254.30
  4. Step 4: Simplify right side
    15,586.76x = 169,353,664.70
  5. Step 5: Solve for x
    x = 169,353,664.70/15,586.76
  6. Step 6: Final answer
    x = 10,865.23

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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.