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Finding the Fourth Proportional to 18,922.84, 26,114.10 and 10,424.50

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Solution

The fourth proportional to 18,922.84, 26,114.10 and 10,424.50 is: 14,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.84 : 26,114.10 = 10,424.50 : x
  2. Step 2: Convert to fraction form
    18,922.84/26,114.10 = 10,424.50/x
  3. Step 3: Cross multiply
    18,922.84x = 26,114.10 × 10,424.50
  4. Step 4: Simplify right side
    18,922.84x = 272,226,435.45
  5. Step 5: Solve for x
    x = 272,226,435.45/18,922.84
  6. Step 6: Final answer
    x = 14,386.13

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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.