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Finding the Fourth Proportional to 15,394.32, 23,088.96 and 7,074

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Solution

The fourth proportional to 15,394.32, 23,088.96 and 7,074 is: 10,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394.32 : 23,088.96 = 7,074 : x
  2. Step 2: Convert to fraction form
    15,394.32/23,088.96 = 7,074/x
  3. Step 3: Cross multiply
    15,394.32x = 23,088.96 × 7,074
  4. Step 4: Simplify right side
    15,394.32x = 163,331,303.04
  5. Step 5: Solve for x
    x = 163,331,303.04/15,394.32
  6. Step 6: Final answer
    x = 10,609.84

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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.