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Finding the Fourth Proportional to 13,534.19, 20,300.80 and 6,133.47

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Solution

The fourth proportional to 13,534.19, 20,300.80 and 6,133.47 is: 9,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.19 : 20,300.80 = 6,133.47 : x
  2. Step 2: Convert to fraction form
    13,534.19/20,300.80 = 6,133.47/x
  3. Step 3: Cross multiply
    13,534.19x = 20,300.80 × 6,133.47
  4. Step 4: Simplify right side
    13,534.19x = 124,514,347.78
  5. Step 5: Solve for x
    x = 124,514,347.78/13,534.19
  6. Step 6: Final answer
    x = 9,199.99

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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.