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Finding the Fourth Proportional to 24,146.42, 36,228.88 and 9,356.50

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Solution

The fourth proportional to 24,146.42, 36,228.88 and 9,356.50 is: 14,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.42 : 36,228.88 = 9,356.50 : x
  2. Step 2: Convert to fraction form
    24,146.42/36,228.88 = 9,356.50/x
  3. Step 3: Cross multiply
    24,146.42x = 36,228.88 × 9,356.50
  4. Step 4: Simplify right side
    24,146.42x = 338,975,515.72
  5. Step 5: Solve for x
    x = 338,975,515.72/24,146.42
  6. Step 6: Final answer
    x = 14,038.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.