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Finding the Fourth Proportional to 16,294.55, 22,485.14 and 9,580.46

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Solution

The fourth proportional to 16,294.55, 22,485.14 and 9,580.46 is: 13,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.55 : 22,485.14 = 9,580.46 : x
  2. Step 2: Convert to fraction form
    16,294.55/22,485.14 = 9,580.46/x
  3. Step 3: Cross multiply
    16,294.55x = 22,485.14 × 9,580.46
  4. Step 4: Simplify right side
    16,294.55x = 215,417,984.36
  5. Step 5: Solve for x
    x = 215,417,984.36/16,294.55
  6. Step 6: Final answer
    x = 13,220.25

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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.