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Finding the Fourth Proportional to 15,605.04, 23,409 and 5,218.32

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Solution

The fourth proportional to 15,605.04, 23,409 and 5,218.32 is: 7,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.04 : 23,409 = 5,218.32 : x
  2. Step 2: Convert to fraction form
    15,605.04/23,409 = 5,218.32/x
  3. Step 3: Cross multiply
    15,605.04x = 23,409 × 5,218.32
  4. Step 4: Simplify right side
    15,605.04x = 122,155,652.88
  5. Step 5: Solve for x
    x = 122,155,652.88/15,605.04
  6. Step 6: Final answer
    x = 7,827.96

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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.