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Finding the Fourth Proportional to 10,025.40, 15,041.70 and 9,665.40

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Solution

The fourth proportional to 10,025.40, 15,041.70 and 9,665.40 is: 14,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.40 : 15,041.70 = 9,665.40 : x
  2. Step 2: Convert to fraction form
    10,025.40/15,041.70 = 9,665.40/x
  3. Step 3: Cross multiply
    10,025.40x = 15,041.70 × 9,665.40
  4. Step 4: Simplify right side
    10,025.40x = 145,384,047.18
  5. Step 5: Solve for x
    x = 145,384,047.18/10,025.40
  6. Step 6: Final answer
    x = 14,501.57

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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.