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Finding the Fourth Proportional to 15,842.30, 21,862.10 and 8,768.57

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Solution

The fourth proportional to 15,842.30, 21,862.10 and 8,768.57 is: 12,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.30 : 21,862.10 = 8,768.57 : x
  2. Step 2: Convert to fraction form
    15,842.30/21,862.10 = 8,768.57/x
  3. Step 3: Cross multiply
    15,842.30x = 21,862.10 × 8,768.57
  4. Step 4: Simplify right side
    15,842.30x = 191,699,266.81
  5. Step 5: Solve for x
    x = 191,699,266.81/15,842.30
  6. Step 6: Final answer
    x = 12,100.47

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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.