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Finding the Fourth Proportional to 15,438.80, 23,165.40 and 8,051.60

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Solution

The fourth proportional to 15,438.80, 23,165.40 and 8,051.60 is: 12,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.80 : 23,165.40 = 8,051.60 : x
  2. Step 2: Convert to fraction form
    15,438.80/23,165.40 = 8,051.60/x
  3. Step 3: Cross multiply
    15,438.80x = 23,165.40 × 8,051.60
  4. Step 4: Simplify right side
    15,438.80x = 186,518,534.64
  5. Step 5: Solve for x
    x = 186,518,534.64/15,438.80
  6. Step 6: Final answer
    x = 12,081.15

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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.