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Finding the Fourth Proportional to 15,466.93, 23,200.32 and 5,078.68

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Solution

The fourth proportional to 15,466.93, 23,200.32 and 5,078.68 is: 7,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466.93 : 23,200.32 = 5,078.68 : x
  2. Step 2: Convert to fraction form
    15,466.93/23,200.32 = 5,078.68/x
  3. Step 3: Cross multiply
    15,466.93x = 23,200.32 × 5,078.68
  4. Step 4: Simplify right side
    15,466.93x = 117,827,001.18
  5. Step 5: Solve for x
    x = 117,827,001.18/15,466.93
  6. Step 6: Final answer
    x = 7,618.00

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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.