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Finding the Fourth Proportional to 13,432.96, 18,538.86 and 7,768

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Solution

The fourth proportional to 13,432.96, 18,538.86 and 7,768 is: 10,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.96 : 18,538.86 = 7,768 : x
  2. Step 2: Convert to fraction form
    13,432.96/18,538.86 = 7,768/x
  3. Step 3: Cross multiply
    13,432.96x = 18,538.86 × 7,768
  4. Step 4: Simplify right side
    13,432.96x = 144,009,864.48
  5. Step 5: Solve for x
    x = 144,009,864.48/13,432.96
  6. Step 6: Final answer
    x = 10,720.64

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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.