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Finding the Fourth Proportional to 19,214, 26,515.32 and 10,382

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Solution

The fourth proportional to 19,214, 26,515.32 and 10,382 is: 14,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 26,515.32 = 10,382 : x
  2. Step 2: Convert to fraction form
    19,214/26,515.32 = 10,382/x
  3. Step 3: Cross multiply
    19,214x = 26,515.32 × 10,382
  4. Step 4: Simplify right side
    19,214x = 275,282,052.24
  5. Step 5: Solve for x
    x = 275,282,052.24/19,214
  6. Step 6: Final answer
    x = 14,327.16

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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.