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Finding the Fourth Proportional to 23,868.32, 35,802.50 and 6,337.71

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Solution

The fourth proportional to 23,868.32, 35,802.50 and 6,337.71 is: 9,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868.32 : 35,802.50 = 6,337.71 : x
  2. Step 2: Convert to fraction form
    23,868.32/35,802.50 = 6,337.71/x
  3. Step 3: Cross multiply
    23,868.32x = 35,802.50 × 6,337.71
  4. Step 4: Simplify right side
    23,868.32x = 226,905,830.59
  5. Step 5: Solve for x
    x = 226,905,830.59/23,868.32
  6. Step 6: Final answer
    x = 9,506.57

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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.