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Finding the Fourth Proportional to 10,318.40, 14,465.20 and 10,318.40

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Solution

The fourth proportional to 10,318.40, 14,465.20 and 10,318.40 is: 14,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.40 : 14,465.20 = 10,318.40 : x
  2. Step 2: Convert to fraction form
    10,318.40/14,465.20 = 10,318.40/x
  3. Step 3: Cross multiply
    10,318.40x = 14,465.20 × 10,318.40
  4. Step 4: Simplify right side
    10,318.40x = 149,257,719.68
  5. Step 5: Solve for x
    x = 149,257,719.68/10,318.40
  6. Step 6: Final answer
    x = 14,465.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.