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Finding the Fourth Proportional to 16,430.68, 24,643.59 and 6,040

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Solution

The fourth proportional to 16,430.68, 24,643.59 and 6,040 is: 9,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.68 : 24,643.59 = 6,040 : x
  2. Step 2: Convert to fraction form
    16,430.68/24,643.59 = 6,040/x
  3. Step 3: Cross multiply
    16,430.68x = 24,643.59 × 6,040
  4. Step 4: Simplify right side
    16,430.68x = 148,847,283.60
  5. Step 5: Solve for x
    x = 148,847,283.60/16,430.68
  6. Step 6: Final answer
    x = 9,059.11

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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.