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Finding the Fourth Proportional to 15,755.34, 21,742.85 and 9,042.19

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Solution

The fourth proportional to 15,755.34, 21,742.85 and 9,042.19 is: 12,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.34 : 21,742.85 = 9,042.19 : x
  2. Step 2: Convert to fraction form
    15,755.34/21,742.85 = 9,042.19/x
  3. Step 3: Cross multiply
    15,755.34x = 21,742.85 × 9,042.19
  4. Step 4: Simplify right side
    15,755.34x = 196,602,980.84
  5. Step 5: Solve for x
    x = 196,602,980.84/15,755.34
  6. Step 6: Final answer
    x = 12,478.50

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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.