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Finding the Fourth Proportional to 10,417.80, 15,645.36 and 9,583.32

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Solution

The fourth proportional to 10,417.80, 15,645.36 and 9,583.32 is: 14,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.80 : 15,645.36 = 9,583.32 : x
  2. Step 2: Convert to fraction form
    10,417.80/15,645.36 = 9,583.32/x
  3. Step 3: Cross multiply
    10,417.80x = 15,645.36 × 9,583.32
  4. Step 4: Simplify right side
    10,417.80x = 149,934,491.40
  5. Step 5: Solve for x
    x = 149,934,491.40/10,417.80
  6. Step 6: Final answer
    x = 14,392.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.