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Finding the Fourth Proportional to 16,030.63, 22,116 and 9,315.06

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Solution

The fourth proportional to 16,030.63, 22,116 and 9,315.06 is: 12,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.63 : 22,116 = 9,315.06 : x
  2. Step 2: Convert to fraction form
    16,030.63/22,116 = 9,315.06/x
  3. Step 3: Cross multiply
    16,030.63x = 22,116 × 9,315.06
  4. Step 4: Simplify right side
    16,030.63x = 206,011,866.96
  5. Step 5: Solve for x
    x = 206,011,866.96/16,030.63
  6. Step 6: Final answer
    x = 12,851.14

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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.