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Finding the Fourth Proportional to 16,853.56, 23,258.98 and 9,685.77

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Solution

The fourth proportional to 16,853.56, 23,258.98 and 9,685.77 is: 13,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.56 : 23,258.98 = 9,685.77 : x
  2. Step 2: Convert to fraction form
    16,853.56/23,258.98 = 9,685.77/x
  3. Step 3: Cross multiply
    16,853.56x = 23,258.98 × 9,685.77
  4. Step 4: Simplify right side
    16,853.56x = 225,281,130.71
  5. Step 5: Solve for x
    x = 225,281,130.71/16,853.56
  6. Step 6: Final answer
    x = 13,366.98

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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.