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Finding the Fourth Proportional to 23,779.84, 35,675.64 and 7,140.16

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Solution

The fourth proportional to 23,779.84, 35,675.64 and 7,140.16 is: 10,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.84 : 35,675.64 = 7,140.16 : x
  2. Step 2: Convert to fraction form
    23,779.84/35,675.64 = 7,140.16/x
  3. Step 3: Cross multiply
    23,779.84x = 35,675.64 × 7,140.16
  4. Step 4: Simplify right side
    23,779.84x = 254,729,777.70
  5. Step 5: Solve for x
    x = 254,729,777.70/23,779.84
  6. Step 6: Final answer
    x = 10,712.01

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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.