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Finding the Fourth Proportional to 13,535.60, 20,303.40 and 5,743.40

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Solution

The fourth proportional to 13,535.60, 20,303.40 and 5,743.40 is: 8,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.60 : 20,303.40 = 5,743.40 : x
  2. Step 2: Convert to fraction form
    13,535.60/20,303.40 = 5,743.40/x
  3. Step 3: Cross multiply
    13,535.60x = 20,303.40 × 5,743.40
  4. Step 4: Simplify right side
    13,535.60x = 116,610,547.56
  5. Step 5: Solve for x
    x = 116,610,547.56/13,535.60
  6. Step 6: Final answer
    x = 8,615.10

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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.