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Finding the Fourth Proportional to 15,735.36, 21,712.30 and 9,019.70

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Solution

The fourth proportional to 15,735.36, 21,712.30 and 9,019.70 is: 12,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.36 : 21,712.30 = 9,019.70 : x
  2. Step 2: Convert to fraction form
    15,735.36/21,712.30 = 9,019.70/x
  3. Step 3: Cross multiply
    15,735.36x = 21,712.30 × 9,019.70
  4. Step 4: Simplify right side
    15,735.36x = 195,838,432.31
  5. Step 5: Solve for x
    x = 195,838,432.31/15,735.36
  6. Step 6: Final answer
    x = 12,445.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.