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Finding the Fourth Proportional to 16,427.40, 22,668.75 and 9,353.76

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Solution

The fourth proportional to 16,427.40, 22,668.75 and 9,353.76 is: 12,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.40 : 22,668.75 = 9,353.76 : x
  2. Step 2: Convert to fraction form
    16,427.40/22,668.75 = 9,353.76/x
  3. Step 3: Cross multiply
    16,427.40x = 22,668.75 × 9,353.76
  4. Step 4: Simplify right side
    16,427.40x = 212,038,047
  5. Step 5: Solve for x
    x = 212,038,047/16,427.40
  6. Step 6: Final answer
    x = 12,907.58

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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.