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Finding the Fourth Proportional to 24,872.80, 37,303.06 and 15,508

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Solution

The fourth proportional to 24,872.80, 37,303.06 and 15,508 is: 23,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.80 : 37,303.06 = 15,508 : x
  2. Step 2: Convert to fraction form
    24,872.80/37,303.06 = 15,508/x
  3. Step 3: Cross multiply
    24,872.80x = 37,303.06 × 15,508
  4. Step 4: Simplify right side
    24,872.80x = 578,495,854.48
  5. Step 5: Solve for x
    x = 578,495,854.48/24,872.80
  6. Step 6: Final answer
    x = 23,258.17

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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.