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Finding the Fourth Proportional to 22,426, 30,948.84 and 12,490

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Solution

The fourth proportional to 22,426, 30,948.84 and 12,490 is: 17,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426 : 30,948.84 = 12,490 : x
  2. Step 2: Convert to fraction form
    22,426/30,948.84 = 12,490/x
  3. Step 3: Cross multiply
    22,426x = 30,948.84 × 12,490
  4. Step 4: Simplify right side
    22,426x = 386,551,011.60
  5. Step 5: Solve for x
    x = 386,551,011.60/22,426
  6. Step 6: Final answer
    x = 17,236.73

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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.