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Finding the Fourth Proportional to 14,765.53, 22,132.63 and 7,258.51

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Solution

The fourth proportional to 14,765.53, 22,132.63 and 7,258.51 is: 10,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.53 : 22,132.63 = 7,258.51 : x
  2. Step 2: Convert to fraction form
    14,765.53/22,132.63 = 7,258.51/x
  3. Step 3: Cross multiply
    14,765.53x = 22,132.63 × 7,258.51
  4. Step 4: Simplify right side
    14,765.53x = 160,649,769.23
  5. Step 5: Solve for x
    x = 160,649,769.23/14,765.53
  6. Step 6: Final answer
    x = 10,880.05

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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.