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Finding the Fourth Proportional to 13,782.05, 18,985.47 and 9,994.08

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Solution

The fourth proportional to 13,782.05, 18,985.47 and 9,994.08 is: 13,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.05 : 18,985.47 = 9,994.08 : x
  2. Step 2: Convert to fraction form
    13,782.05/18,985.47 = 9,994.08/x
  3. Step 3: Cross multiply
    13,782.05x = 18,985.47 × 9,994.08
  4. Step 4: Simplify right side
    13,782.05x = 189,742,306.02
  5. Step 5: Solve for x
    x = 189,742,306.02/13,782.05
  6. Step 6: Final answer
    x = 13,767.35

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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.