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Finding the Fourth Proportional to 12,595.06, 17,385.17 and 7,876.34

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Solution

The fourth proportional to 12,595.06, 17,385.17 and 7,876.34 is: 10,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.06 : 17,385.17 = 7,876.34 : x
  2. Step 2: Convert to fraction form
    12,595.06/17,385.17 = 7,876.34/x
  3. Step 3: Cross multiply
    12,595.06x = 17,385.17 × 7,876.34
  4. Step 4: Simplify right side
    12,595.06x = 136,931,509.88
  5. Step 5: Solve for x
    x = 136,931,509.88/12,595.06
  6. Step 6: Final answer
    x = 10,871.84

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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.