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Finding the Fourth Proportional to 15,566.75, 21,482.12 and 9,977.75

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Solution

The fourth proportional to 15,566.75, 21,482.12 and 9,977.75 is: 13,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566.75 : 21,482.12 = 9,977.75 : x
  2. Step 2: Convert to fraction form
    15,566.75/21,482.12 = 9,977.75/x
  3. Step 3: Cross multiply
    15,566.75x = 21,482.12 × 9,977.75
  4. Step 4: Simplify right side
    15,566.75x = 214,343,222.83
  5. Step 5: Solve for x
    x = 214,343,222.83/15,566.75
  6. Step 6: Final answer
    x = 13,769.30

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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.