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Finding the Fourth Proportional to 24,434.10, 36,643.95 and 9,638.10

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Solution

The fourth proportional to 24,434.10, 36,643.95 and 9,638.10 is: 14,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.10 : 36,643.95 = 9,638.10 : x
  2. Step 2: Convert to fraction form
    24,434.10/36,643.95 = 9,638.10/x
  3. Step 3: Cross multiply
    24,434.10x = 36,643.95 × 9,638.10
  4. Step 4: Simplify right side
    24,434.10x = 353,178,054.50
  5. Step 5: Solve for x
    x = 353,178,054.50/24,434.10
  6. Step 6: Final answer
    x = 14,454.31

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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.