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Finding the Fourth Proportional to 17,885, 24,681.30 and 9,928.51

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Solution

The fourth proportional to 17,885, 24,681.30 and 9,928.51 is: 13,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885 : 24,681.30 = 9,928.51 : x
  2. Step 2: Convert to fraction form
    17,885/24,681.30 = 9,928.51/x
  3. Step 3: Cross multiply
    17,885x = 24,681.30 × 9,928.51
  4. Step 4: Simplify right side
    17,885x = 245,048,533.86
  5. Step 5: Solve for x
    x = 245,048,533.86/17,885
  6. Step 6: Final answer
    x = 13,701.34

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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.