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Finding the Fourth Proportional to 10,130.40, 15,199.20 and 9,770.40

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Solution

The fourth proportional to 10,130.40, 15,199.20 and 9,770.40 is: 14,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.40 : 15,199.20 = 9,770.40 : x
  2. Step 2: Convert to fraction form
    10,130.40/15,199.20 = 9,770.40/x
  3. Step 3: Cross multiply
    10,130.40x = 15,199.20 × 9,770.40
  4. Step 4: Simplify right side
    10,130.40x = 148,502,263.68
  5. Step 5: Solve for x
    x = 148,502,263.68/10,130.40
  6. Step 6: Final answer
    x = 14,659.07

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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.