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Finding the Fourth Proportional to 13,425.86, 18,528.52 and 7,457.58

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Solution

The fourth proportional to 13,425.86, 18,528.52 and 7,457.58 is: 10,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.86 : 18,528.52 = 7,457.58 : x
  2. Step 2: Convert to fraction form
    13,425.86/18,528.52 = 7,457.58/x
  3. Step 3: Cross multiply
    13,425.86x = 18,528.52 × 7,457.58
  4. Step 4: Simplify right side
    13,425.86x = 138,177,920.18
  5. Step 5: Solve for x
    x = 138,177,920.18/13,425.86
  6. Step 6: Final answer
    x = 10,291.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.