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Finding the Fourth Proportional to 10,559.58, 14,563.35 and 9,159.90

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Solution

The fourth proportional to 10,559.58, 14,563.35 and 9,159.90 is: 12,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.58 : 14,563.35 = 9,159.90 : x
  2. Step 2: Convert to fraction form
    10,559.58/14,563.35 = 9,159.90/x
  3. Step 3: Cross multiply
    10,559.58x = 14,563.35 × 9,159.90
  4. Step 4: Simplify right side
    10,559.58x = 133,398,829.67
  5. Step 5: Solve for x
    x = 133,398,829.67/10,559.58
  6. Step 6: Final answer
    x = 12,632.97

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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.