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Finding the Fourth Proportional to 24,671.36, 37,001.60 and 11,511.36

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Solution

The fourth proportional to 24,671.36, 37,001.60 and 11,511.36 is: 17,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.36 : 37,001.60 = 11,511.36 : x
  2. Step 2: Convert to fraction form
    24,671.36/37,001.60 = 11,511.36/x
  3. Step 3: Cross multiply
    24,671.36x = 37,001.60 × 11,511.36
  4. Step 4: Simplify right side
    24,671.36x = 425,938,738.18
  5. Step 5: Solve for x
    x = 425,938,738.18/24,671.36
  6. Step 6: Final answer
    x = 17,264.50

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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.