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Finding the Fourth Proportional to 16,202.88, 22,359.78 and 9,130.50

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Solution

The fourth proportional to 16,202.88, 22,359.78 and 9,130.50 is: 12,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.88 : 22,359.78 = 9,130.50 : x
  2. Step 2: Convert to fraction form
    16,202.88/22,359.78 = 9,130.50/x
  3. Step 3: Cross multiply
    16,202.88x = 22,359.78 × 9,130.50
  4. Step 4: Simplify right side
    16,202.88x = 204,155,971.29
  5. Step 5: Solve for x
    x = 204,155,971.29/16,202.88
  6. Step 6: Final answer
    x = 12,599.98

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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.