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Finding the Fourth Proportional to 15,793.84, 23,655.12 and 9,210.16

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Solution

The fourth proportional to 15,793.84, 23,655.12 and 9,210.16 is: 13,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.84 : 23,655.12 = 9,210.16 : x
  2. Step 2: Convert to fraction form
    15,793.84/23,655.12 = 9,210.16/x
  3. Step 3: Cross multiply
    15,793.84x = 23,655.12 × 9,210.16
  4. Step 4: Simplify right side
    15,793.84x = 217,867,440.02
  5. Step 5: Solve for x
    x = 217,867,440.02/15,793.84
  6. Step 6: Final answer
    x = 13,794.46

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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.