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Finding the Fourth Proportional to 13,465.34, 20,207.24 and 4,700.25

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Solution

The fourth proportional to 13,465.34, 20,207.24 and 4,700.25 is: 7,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.34 : 20,207.24 = 4,700.25 : x
  2. Step 2: Convert to fraction form
    13,465.34/20,207.24 = 4,700.25/x
  3. Step 3: Cross multiply
    13,465.34x = 20,207.24 × 4,700.25
  4. Step 4: Simplify right side
    13,465.34x = 94,979,132.09
  5. Step 5: Solve for x
    x = 94,979,132.09/13,465.34
  6. Step 6: Final answer
    x = 7,053.60

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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.