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Finding the Fourth Proportional to 24,767.64, 37,153.08 and 7,236

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Solution

The fourth proportional to 24,767.64, 37,153.08 and 7,236 is: 10,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.64 : 37,153.08 = 7,236 : x
  2. Step 2: Convert to fraction form
    24,767.64/37,153.08 = 7,236/x
  3. Step 3: Cross multiply
    24,767.64x = 37,153.08 × 7,236
  4. Step 4: Simplify right side
    24,767.64x = 268,839,686.88
  5. Step 5: Solve for x
    x = 268,839,686.88/24,767.64
  6. Step 6: Final answer
    x = 10,854.47

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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.