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Finding the Fourth Proportional to 19,552.76, 29,334.56 and 9,026

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Solution

The fourth proportional to 19,552.76, 29,334.56 and 9,026 is: 13,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552.76 : 29,334.56 = 9,026 : x
  2. Step 2: Convert to fraction form
    19,552.76/29,334.56 = 9,026/x
  3. Step 3: Cross multiply
    19,552.76x = 29,334.56 × 9,026
  4. Step 4: Simplify right side
    19,552.76x = 264,773,738.56
  5. Step 5: Solve for x
    x = 264,773,738.56/19,552.76
  6. Step 6: Final answer
    x = 13,541.50

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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.