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Finding the Fourth Proportional to 24,557.23, 36,838.23 and 9,762.85

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Solution

The fourth proportional to 24,557.23, 36,838.23 and 9,762.85 is: 14,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.23 : 36,838.23 = 9,762.85 : x
  2. Step 2: Convert to fraction form
    24,557.23/36,838.23 = 9,762.85/x
  3. Step 3: Cross multiply
    24,557.23x = 36,838.23 × 9,762.85
  4. Step 4: Simplify right side
    24,557.23x = 359,646,113.76
  5. Step 5: Solve for x
    x = 359,646,113.76/24,557.23
  6. Step 6: Final answer
    x = 14,645.22

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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.