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Finding the Fourth Proportional to 24,104, 36,156.64 and 7,688

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Solution

The fourth proportional to 24,104, 36,156.64 and 7,688 is: 11,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,104 : 36,156.64 = 7,688 : x
  2. Step 2: Convert to fraction form
    24,104/36,156.64 = 7,688/x
  3. Step 3: Cross multiply
    24,104x = 36,156.64 × 7,688
  4. Step 4: Simplify right side
    24,104x = 277,972,248.32
  5. Step 5: Solve for x
    x = 277,972,248.32/24,104
  6. Step 6: Final answer
    x = 11,532.20

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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.