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Finding the Fourth Proportional to 10,701.70, 16,009.35 and 9,256.90

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Solution

The fourth proportional to 10,701.70, 16,009.35 and 9,256.90 is: 13,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.70 : 16,009.35 = 9,256.90 : x
  2. Step 2: Convert to fraction form
    10,701.70/16,009.35 = 9,256.90/x
  3. Step 3: Cross multiply
    10,701.70x = 16,009.35 × 9,256.90
  4. Step 4: Simplify right side
    10,701.70x = 148,196,952.02
  5. Step 5: Solve for x
    x = 148,196,952.02/10,701.70
  6. Step 6: Final answer
    x = 13,847.98

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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.