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Finding the Fourth Proportional to 21,413, 29,568.18 and 13,468.52

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Solution

The fourth proportional to 21,413, 29,568.18 and 13,468.52 is: 18,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413 : 29,568.18 = 13,468.52 : x
  2. Step 2: Convert to fraction form
    21,413/29,568.18 = 13,468.52/x
  3. Step 3: Cross multiply
    21,413x = 29,568.18 × 13,468.52
  4. Step 4: Simplify right side
    21,413x = 398,239,623.69
  5. Step 5: Solve for x
    x = 398,239,623.69/21,413
  6. Step 6: Final answer
    x = 18,598.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.