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Finding the Fourth Proportional to 22,426.10, 30,948.14 and 12,355.13

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Solution

The fourth proportional to 22,426.10, 30,948.14 and 12,355.13 is: 17,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.10 : 30,948.14 = 12,355.13 : x
  2. Step 2: Convert to fraction form
    22,426.10/30,948.14 = 12,355.13/x
  3. Step 3: Cross multiply
    22,426.10x = 30,948.14 × 12,355.13
  4. Step 4: Simplify right side
    22,426.10x = 382,368,401.22
  5. Step 5: Solve for x
    x = 382,368,401.22/22,426.10
  6. Step 6: Final answer
    x = 17,050.15

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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.