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Finding the Fourth Proportional to 13,360.64, 20,053.96 and 6,440

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Solution

The fourth proportional to 13,360.64, 20,053.96 and 6,440 is: 9,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,360.64 : 20,053.96 = 6,440 : x
  2. Step 2: Convert to fraction form
    13,360.64/20,053.96 = 6,440/x
  3. Step 3: Cross multiply
    13,360.64x = 20,053.96 × 6,440
  4. Step 4: Simplify right side
    13,360.64x = 129,147,502.40
  5. Step 5: Solve for x
    x = 129,147,502.40/13,360.64
  6. Step 6: Final answer
    x = 9,666.27

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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.