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Finding the Fourth Proportional to 13,528.32, 18,667.86 and 7,559.16

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Solution

The fourth proportional to 13,528.32, 18,667.86 and 7,559.16 is: 10,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.32 : 18,667.86 = 7,559.16 : x
  2. Step 2: Convert to fraction form
    13,528.32/18,667.86 = 7,559.16/x
  3. Step 3: Cross multiply
    13,528.32x = 18,667.86 × 7,559.16
  4. Step 4: Simplify right side
    13,528.32x = 141,113,340.60
  5. Step 5: Solve for x
    x = 141,113,340.60/13,528.32
  6. Step 6: Final answer
    x = 10,430.96

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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.