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Finding the Fourth Proportional to 24,686.50, 37,035.22 and 9,695.06

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Solution

The fourth proportional to 24,686.50, 37,035.22 and 9,695.06 is: 14,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.50 : 37,035.22 = 9,695.06 : x
  2. Step 2: Convert to fraction form
    24,686.50/37,035.22 = 9,695.06/x
  3. Step 3: Cross multiply
    24,686.50x = 37,035.22 × 9,695.06
  4. Step 4: Simplify right side
    24,686.50x = 359,058,680.01
  5. Step 5: Solve for x
    x = 359,058,680.01/24,686.50
  6. Step 6: Final answer
    x = 14,544.74

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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.