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Finding the Fourth Proportional to 16,259.94, 24,319.58 and 9,580.59

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Solution

The fourth proportional to 16,259.94, 24,319.58 and 9,580.59 is: 14,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.94 : 24,319.58 = 9,580.59 : x
  2. Step 2: Convert to fraction form
    16,259.94/24,319.58 = 9,580.59/x
  3. Step 3: Cross multiply
    16,259.94x = 24,319.58 × 9,580.59
  4. Step 4: Simplify right side
    16,259.94x = 232,995,877.05
  5. Step 5: Solve for x
    x = 232,995,877.05/16,259.94
  6. Step 6: Final answer
    x = 14,329.44

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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.