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Finding the Fourth Proportional to 15,854.84, 21,870.10 and 10,187.68

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Solution

The fourth proportional to 15,854.84, 21,870.10 and 10,187.68 is: 14,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.84 : 21,870.10 = 10,187.68 : x
  2. Step 2: Convert to fraction form
    15,854.84/21,870.10 = 10,187.68/x
  3. Step 3: Cross multiply
    15,854.84x = 21,870.10 × 10,187.68
  4. Step 4: Simplify right side
    15,854.84x = 222,805,580.37
  5. Step 5: Solve for x
    x = 222,805,580.37/15,854.84
  6. Step 6: Final answer
    x = 14,052.84

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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.