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Finding the Fourth Proportional to 10,561.58, 14,594.26 and 10,049.18

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Solution

The fourth proportional to 10,561.58, 14,594.26 and 10,049.18 is: 13,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.58 : 14,594.26 = 10,049.18 : x
  2. Step 2: Convert to fraction form
    10,561.58/14,594.26 = 10,049.18/x
  3. Step 3: Cross multiply
    10,561.58x = 14,594.26 × 10,049.18
  4. Step 4: Simplify right side
    10,561.58x = 146,660,345.71
  5. Step 5: Solve for x
    x = 146,660,345.71/10,561.58
  6. Step 6: Final answer
    x = 13,886.21

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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.