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Finding the Fourth Proportional to 23,381.19, 35,076.72 and 7,585

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Solution

The fourth proportional to 23,381.19, 35,076.72 and 7,585 is: 11,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.19 : 35,076.72 = 7,585 : x
  2. Step 2: Convert to fraction form
    23,381.19/35,076.72 = 7,585/x
  3. Step 3: Cross multiply
    23,381.19x = 35,076.72 × 7,585
  4. Step 4: Simplify right side
    23,381.19x = 266,056,921.20
  5. Step 5: Solve for x
    x = 266,056,921.20/23,381.19
  6. Step 6: Final answer
    x = 11,379.10

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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.