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Finding the Fourth Proportional to 24,026.42, 36,039.74 and 15,758.75

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Solution

The fourth proportional to 24,026.42, 36,039.74 and 15,758.75 is: 23,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026.42 : 36,039.74 = 15,758.75 : x
  2. Step 2: Convert to fraction form
    24,026.42/36,039.74 = 15,758.75/x
  3. Step 3: Cross multiply
    24,026.42x = 36,039.74 × 15,758.75
  4. Step 4: Simplify right side
    24,026.42x = 567,941,264.03
  5. Step 5: Solve for x
    x = 567,941,264.03/24,026.42
  6. Step 6: Final answer
    x = 23,638.20

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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.