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Finding the Fourth Proportional to 13,854.51, 19,143.68 and 10,264.32

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Solution

The fourth proportional to 13,854.51, 19,143.68 and 10,264.32 is: 14,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.51 : 19,143.68 = 10,264.32 : x
  2. Step 2: Convert to fraction form
    13,854.51/19,143.68 = 10,264.32/x
  3. Step 3: Cross multiply
    13,854.51x = 19,143.68 × 10,264.32
  4. Step 4: Simplify right side
    13,854.51x = 196,496,806.18
  5. Step 5: Solve for x
    x = 196,496,806.18/13,854.51
  6. Step 6: Final answer
    x = 14,182.88

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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.