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Finding the Fourth Proportional to 16,298.75, 22,493.70 and 9,128.55

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Solution

The fourth proportional to 16,298.75, 22,493.70 and 9,128.55 is: 12,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.75 : 22,493.70 = 9,128.55 : x
  2. Step 2: Convert to fraction form
    16,298.75/22,493.70 = 9,128.55/x
  3. Step 3: Cross multiply
    16,298.75x = 22,493.70 × 9,128.55
  4. Step 4: Simplify right side
    16,298.75x = 205,334,842.31
  5. Step 5: Solve for x
    x = 205,334,842.31/16,298.75
  6. Step 6: Final answer
    x = 12,598.20

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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.