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Finding the Fourth Proportional to 23,423.74, 35,138.85 and 9,569.50

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Solution

The fourth proportional to 23,423.74, 35,138.85 and 9,569.50 is: 14,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.74 : 35,138.85 = 9,569.50 : x
  2. Step 2: Convert to fraction form
    23,423.74/35,138.85 = 9,569.50/x
  3. Step 3: Cross multiply
    23,423.74x = 35,138.85 × 9,569.50
  4. Step 4: Simplify right side
    23,423.74x = 336,261,225.08
  5. Step 5: Solve for x
    x = 336,261,225.08/23,423.74
  6. Step 6: Final answer
    x = 14,355.57

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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.