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Finding the Fourth Proportional to 13,810.83, 20,702.06 and 7,875.58

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Solution

The fourth proportional to 13,810.83, 20,702.06 and 7,875.58 is: 11,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.83 : 20,702.06 = 7,875.58 : x
  2. Step 2: Convert to fraction form
    13,810.83/20,702.06 = 7,875.58/x
  3. Step 3: Cross multiply
    13,810.83x = 20,702.06 × 7,875.58
  4. Step 4: Simplify right side
    13,810.83x = 163,040,729.69
  5. Step 5: Solve for x
    x = 163,040,729.69/13,810.83
  6. Step 6: Final answer
    x = 11,805.28

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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.