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Finding the Fourth Proportional to 15,509.76, 23,264.76 and 4,416.43

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Solution

The fourth proportional to 15,509.76, 23,264.76 and 4,416.43 is: 6,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.76 : 23,264.76 = 4,416.43 : x
  2. Step 2: Convert to fraction form
    15,509.76/23,264.76 = 4,416.43/x
  3. Step 3: Cross multiply
    15,509.76x = 23,264.76 × 4,416.43
  4. Step 4: Simplify right side
    15,509.76x = 102,747,184.01
  5. Step 5: Solve for x
    x = 102,747,184.01/15,509.76
  6. Step 6: Final answer
    x = 6,624.68

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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.