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Finding the Fourth Proportional to 13,577.01, 18,717 and 9,985.62

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Solution

The fourth proportional to 13,577.01, 18,717 and 9,985.62 is: 13,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.01 : 18,717 = 9,985.62 : x
  2. Step 2: Convert to fraction form
    13,577.01/18,717 = 9,985.62/x
  3. Step 3: Cross multiply
    13,577.01x = 18,717 × 9,985.62
  4. Step 4: Simplify right side
    13,577.01x = 186,900,849.54
  5. Step 5: Solve for x
    x = 186,900,849.54/13,577.01
  6. Step 6: Final answer
    x = 13,765.98

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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.