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Finding the Fourth Proportional to 29,138.61, 40,214.40 and 17,814.75

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Solution

The fourth proportional to 29,138.61, 40,214.40 and 17,814.75 is: 24,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.61 : 40,214.40 = 17,814.75 : x
  2. Step 2: Convert to fraction form
    29,138.61/40,214.40 = 17,814.75/x
  3. Step 3: Cross multiply
    29,138.61x = 40,214.40 × 17,814.75
  4. Step 4: Simplify right side
    29,138.61x = 716,409,482.40
  5. Step 5: Solve for x
    x = 716,409,482.40/29,138.61
  6. Step 6: Final answer
    x = 24,586.26

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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.