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Finding the Fourth Proportional to 27,124.88, 40,690.38 and 9,596.48

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Solution

The fourth proportional to 27,124.88, 40,690.38 and 9,596.48 is: 14,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.88 : 40,690.38 = 9,596.48 : x
  2. Step 2: Convert to fraction form
    27,124.88/40,690.38 = 9,596.48/x
  3. Step 3: Cross multiply
    27,124.88x = 40,690.38 × 9,596.48
  4. Step 4: Simplify right side
    27,124.88x = 390,484,417.86
  5. Step 5: Solve for x
    x = 390,484,417.86/27,124.88
  6. Step 6: Final answer
    x = 14,395.80

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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.