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Finding the Fourth Proportional to 16,030.86, 22,119.39 and 9,316.50

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Solution

The fourth proportional to 16,030.86, 22,119.39 and 9,316.50 is: 12,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.86 : 22,119.39 = 9,316.50 : x
  2. Step 2: Convert to fraction form
    16,030.86/22,119.39 = 9,316.50/x
  3. Step 3: Cross multiply
    16,030.86x = 22,119.39 × 9,316.50
  4. Step 4: Simplify right side
    16,030.86x = 206,075,296.94
  5. Step 5: Solve for x
    x = 206,075,296.94/16,030.86
  6. Step 6: Final answer
    x = 12,854.91

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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.