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Finding the Fourth Proportional to 15,166.69, 22,724.88 and 9,225.60

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Solution

The fourth proportional to 15,166.69, 22,724.88 and 9,225.60 is: 13,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.69 : 22,724.88 = 9,225.60 : x
  2. Step 2: Convert to fraction form
    15,166.69/22,724.88 = 9,225.60/x
  3. Step 3: Cross multiply
    15,166.69x = 22,724.88 × 9,225.60
  4. Step 4: Simplify right side
    15,166.69x = 209,650,533.11
  5. Step 5: Solve for x
    x = 209,650,533.11/15,166.69
  6. Step 6: Final answer
    x = 13,823.09

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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.