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Finding the Fourth Proportional to 16,225.26, 24,328.98 and 9,987.59

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Solution

The fourth proportional to 16,225.26, 24,328.98 and 9,987.59 is: 14,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.26 : 24,328.98 = 9,987.59 : x
  2. Step 2: Convert to fraction form
    16,225.26/24,328.98 = 9,987.59/x
  3. Step 3: Cross multiply
    16,225.26x = 24,328.98 × 9,987.59
  4. Step 4: Simplify right side
    16,225.26x = 242,987,755.71
  5. Step 5: Solve for x
    x = 242,987,755.71/16,225.26
  6. Step 6: Final answer
    x = 14,975.89

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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.