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Finding the Fourth Proportional to 10,686.19, 14,751.05 and 9,565.15

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Solution

The fourth proportional to 10,686.19, 14,751.05 and 9,565.15 is: 13,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.19 : 14,751.05 = 9,565.15 : x
  2. Step 2: Convert to fraction form
    10,686.19/14,751.05 = 9,565.15/x
  3. Step 3: Cross multiply
    10,686.19x = 14,751.05 × 9,565.15
  4. Step 4: Simplify right side
    10,686.19x = 141,095,974.50
  5. Step 5: Solve for x
    x = 141,095,974.50/10,686.19
  6. Step 6: Final answer
    x = 13,203.59

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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.