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Finding the Fourth Proportional to 15,787, 23,680.68 and 4,693.40

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Solution

The fourth proportional to 15,787, 23,680.68 and 4,693.40 is: 7,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787 : 23,680.68 = 4,693.40 : x
  2. Step 2: Convert to fraction form
    15,787/23,680.68 = 4,693.40/x
  3. Step 3: Cross multiply
    15,787x = 23,680.68 × 4,693.40
  4. Step 4: Simplify right side
    15,787x = 111,142,903.51
  5. Step 5: Solve for x
    x = 111,142,903.51/15,787
  6. Step 6: Final answer
    x = 7,040.15

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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.