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Finding the Fourth Proportional to 12,358.40, 16,822.40 and 12,358.40

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Solution

The fourth proportional to 12,358.40, 16,822.40 and 12,358.40 is: 16,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.40 : 16,822.40 = 12,358.40 : x
  2. Step 2: Convert to fraction form
    12,358.40/16,822.40 = 12,358.40/x
  3. Step 3: Cross multiply
    12,358.40x = 16,822.40 × 12,358.40
  4. Step 4: Simplify right side
    12,358.40x = 207,897,948.16
  5. Step 5: Solve for x
    x = 207,897,948.16/12,358.40
  6. Step 6: Final answer
    x = 16,822.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.