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Finding the Fourth Proportional to 13,534.58, 20,291.58 and 9,363.50

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Solution

The fourth proportional to 13,534.58, 20,291.58 and 9,363.50 is: 14,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.58 : 20,291.58 = 9,363.50 : x
  2. Step 2: Convert to fraction form
    13,534.58/20,291.58 = 9,363.50/x
  3. Step 3: Cross multiply
    13,534.58x = 20,291.58 × 9,363.50
  4. Step 4: Simplify right side
    13,534.58x = 190,000,209.33
  5. Step 5: Solve for x
    x = 190,000,209.33/13,534.58
  6. Step 6: Final answer
    x = 14,038.13

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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.