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Finding the Fourth Proportional to 15,854.07, 21,828.82 and 13,459.07

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Solution

The fourth proportional to 15,854.07, 21,828.82 and 13,459.07 is: 18,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.07 : 21,828.82 = 13,459.07 : x
  2. Step 2: Convert to fraction form
    15,854.07/21,828.82 = 13,459.07/x
  3. Step 3: Cross multiply
    15,854.07x = 21,828.82 × 13,459.07
  4. Step 4: Simplify right side
    15,854.07x = 293,795,616.40
  5. Step 5: Solve for x
    x = 293,795,616.40/15,854.07
  6. Step 6: Final answer
    x = 18,531.24

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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.