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Finding the Fourth Proportional to 24,547.71, 36,821.64 and 9,756.53

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Solution

The fourth proportional to 24,547.71, 36,821.64 and 9,756.53 is: 14,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.71 : 36,821.64 = 9,756.53 : x
  2. Step 2: Convert to fraction form
    24,547.71/36,821.64 = 9,756.53/x
  3. Step 3: Cross multiply
    24,547.71x = 36,821.64 × 9,756.53
  4. Step 4: Simplify right side
    24,547.71x = 359,251,267.43
  5. Step 5: Solve for x
    x = 359,251,267.43/24,547.71
  6. Step 6: Final answer
    x = 14,634.82

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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.