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Finding the Fourth Proportional to 13,897.68, 20,848.82 and 4,534.98

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Solution

The fourth proportional to 13,897.68, 20,848.82 and 4,534.98 is: 6,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.68 : 20,848.82 = 4,534.98 : x
  2. Step 2: Convert to fraction form
    13,897.68/20,848.82 = 4,534.98/x
  3. Step 3: Cross multiply
    13,897.68x = 20,848.82 × 4,534.98
  4. Step 4: Simplify right side
    13,897.68x = 94,548,959.05
  5. Step 5: Solve for x
    x = 94,548,959.05/13,897.68
  6. Step 6: Final answer
    x = 6,803.22

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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.