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Finding the Fourth Proportional to 10,459.54, 14,462.58 and 10,290.55

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Solution

The fourth proportional to 10,459.54, 14,462.58 and 10,290.55 is: 14,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.54 : 14,462.58 = 10,290.55 : x
  2. Step 2: Convert to fraction form
    10,459.54/14,462.58 = 10,290.55/x
  3. Step 3: Cross multiply
    10,459.54x = 14,462.58 × 10,290.55
  4. Step 4: Simplify right side
    10,459.54x = 148,827,902.62
  5. Step 5: Solve for x
    x = 148,827,902.62/10,459.54
  6. Step 6: Final answer
    x = 14,228.92

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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.