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Finding the Fourth Proportional to 13,135.10, 19,702.65 and 8,210.30

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Solution

The fourth proportional to 13,135.10, 19,702.65 and 8,210.30 is: 12,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.10 : 19,702.65 = 8,210.30 : x
  2. Step 2: Convert to fraction form
    13,135.10/19,702.65 = 8,210.30/x
  3. Step 3: Cross multiply
    13,135.10x = 19,702.65 × 8,210.30
  4. Step 4: Simplify right side
    13,135.10x = 161,764,667.30
  5. Step 5: Solve for x
    x = 161,764,667.30/13,135.10
  6. Step 6: Final answer
    x = 12,315.45

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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.