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Finding the Fourth Proportional to 19,374, 29,065.32 and 7,062

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Solution

The fourth proportional to 19,374, 29,065.32 and 7,062 is: 10,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374 : 29,065.32 = 7,062 : x
  2. Step 2: Convert to fraction form
    19,374/29,065.32 = 7,062/x
  3. Step 3: Cross multiply
    19,374x = 29,065.32 × 7,062
  4. Step 4: Simplify right side
    19,374x = 205,259,289.84
  5. Step 5: Solve for x
    x = 205,259,289.84/19,374
  6. Step 6: Final answer
    x = 10,594.57

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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.