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Finding the Fourth Proportional to 17,586.64, 24,268.98 and 10,509.40

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Solution

The fourth proportional to 17,586.64, 24,268.98 and 10,509.40 is: 14,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.64 : 24,268.98 = 10,509.40 : x
  2. Step 2: Convert to fraction form
    17,586.64/24,268.98 = 10,509.40/x
  3. Step 3: Cross multiply
    17,586.64x = 24,268.98 × 10,509.40
  4. Step 4: Simplify right side
    17,586.64x = 255,052,418.41
  5. Step 5: Solve for x
    x = 255,052,418.41/17,586.64
  6. Step 6: Final answer
    x = 14,502.62

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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.