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Finding the Fourth Proportional to 19,565, 29,351.82 and 7,253

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Solution

The fourth proportional to 19,565, 29,351.82 and 7,253 is: 10,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565 : 29,351.82 = 7,253 : x
  2. Step 2: Convert to fraction form
    19,565/29,351.82 = 7,253/x
  3. Step 3: Cross multiply
    19,565x = 29,351.82 × 7,253
  4. Step 4: Simplify right side
    19,565x = 212,888,750.46
  5. Step 5: Solve for x
    x = 212,888,750.46/19,565
  6. Step 6: Final answer
    x = 10,881.10

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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.