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Finding the Fourth Proportional to 24,547.52, 36,827.40 and 11,409.20

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Solution

The fourth proportional to 24,547.52, 36,827.40 and 11,409.20 is: 17,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.52 : 36,827.40 = 11,409.20 : x
  2. Step 2: Convert to fraction form
    24,547.52/36,827.40 = 11,409.20/x
  3. Step 3: Cross multiply
    24,547.52x = 36,827.40 × 11,409.20
  4. Step 4: Simplify right side
    24,547.52x = 420,171,172.08
  5. Step 5: Solve for x
    x = 420,171,172.08/24,547.52
  6. Step 6: Final answer
    x = 17,116.64

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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.