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Finding the Fourth Proportional to 13,779.80, 19,017.60 and 7,810.82

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Solution

The fourth proportional to 13,779.80, 19,017.60 and 7,810.82 is: 10,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.80 : 19,017.60 = 7,810.82 : x
  2. Step 2: Convert to fraction form
    13,779.80/19,017.60 = 7,810.82/x
  3. Step 3: Cross multiply
    13,779.80x = 19,017.60 × 7,810.82
  4. Step 4: Simplify right side
    13,779.80x = 148,543,050.43
  5. Step 5: Solve for x
    x = 148,543,050.43/13,779.80
  6. Step 6: Final answer
    x = 10,779.77

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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.