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Finding the Fourth Proportional to 13,258.62, 18,288.86 and 10,421.46

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Solution

The fourth proportional to 13,258.62, 18,288.86 and 10,421.46 is: 14,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.62 : 18,288.86 = 10,421.46 : x
  2. Step 2: Convert to fraction form
    13,258.62/18,288.86 = 10,421.46/x
  3. Step 3: Cross multiply
    13,258.62x = 18,288.86 × 10,421.46
  4. Step 4: Simplify right side
    13,258.62x = 190,596,570.83
  5. Step 5: Solve for x
    x = 190,596,570.83/13,258.62
  6. Step 6: Final answer
    x = 14,375.29

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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.