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Finding the Fourth Proportional to 16,484.50, 22,748.61 and 9,411.11

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Solution

The fourth proportional to 16,484.50, 22,748.61 and 9,411.11 is: 12,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.50 : 22,748.61 = 9,411.11 : x
  2. Step 2: Convert to fraction form
    16,484.50/22,748.61 = 9,411.11/x
  3. Step 3: Cross multiply
    16,484.50x = 22,748.61 × 9,411.11
  4. Step 4: Simplify right side
    16,484.50x = 214,089,671.06
  5. Step 5: Solve for x
    x = 214,089,671.06/16,484.50
  6. Step 6: Final answer
    x = 12,987.33

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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.