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Finding the Fourth Proportional to 22,752, 34,126.08 and 7,758

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Solution

The fourth proportional to 22,752, 34,126.08 and 7,758 is: 11,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 34,126.08 = 7,758 : x
  2. Step 2: Convert to fraction form
    22,752/34,126.08 = 7,758/x
  3. Step 3: Cross multiply
    22,752x = 34,126.08 × 7,758
  4. Step 4: Simplify right side
    22,752x = 264,750,128.64
  5. Step 5: Solve for x
    x = 264,750,128.64/22,752
  6. Step 6: Final answer
    x = 11,636.35

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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.