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Finding the Fourth Proportional to 12,543.95, 17,306.70 and 7,830.96

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Solution

The fourth proportional to 12,543.95, 17,306.70 and 7,830.96 is: 10,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.95 : 17,306.70 = 7,830.96 : x
  2. Step 2: Convert to fraction form
    12,543.95/17,306.70 = 7,830.96/x
  3. Step 3: Cross multiply
    12,543.95x = 17,306.70 × 7,830.96
  4. Step 4: Simplify right side
    12,543.95x = 135,528,075.43
  5. Step 5: Solve for x
    x = 135,528,075.43/12,543.95
  6. Step 6: Final answer
    x = 10,804.26

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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.