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Finding the Fourth Proportional to 15,482.88, 23,207.04 and 6,114.24

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Solution

The fourth proportional to 15,482.88, 23,207.04 and 6,114.24 is: 9,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.88 : 23,207.04 = 6,114.24 : x
  2. Step 2: Convert to fraction form
    15,482.88/23,207.04 = 6,114.24/x
  3. Step 3: Cross multiply
    15,482.88x = 23,207.04 × 6,114.24
  4. Step 4: Simplify right side
    15,482.88x = 141,893,412.25
  5. Step 5: Solve for x
    x = 141,893,412.25/15,482.88
  6. Step 6: Final answer
    x = 9,164.54

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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.