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Finding the Fourth Proportional to 16,159.69, 22,306.41 and 9,447.47

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Solution

The fourth proportional to 16,159.69, 22,306.41 and 9,447.47 is: 13,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.69 : 22,306.41 = 9,447.47 : x
  2. Step 2: Convert to fraction form
    16,159.69/22,306.41 = 9,447.47/x
  3. Step 3: Cross multiply
    16,159.69x = 22,306.41 × 9,447.47
  4. Step 4: Simplify right side
    16,159.69x = 210,738,980.51
  5. Step 5: Solve for x
    x = 210,738,980.51/16,159.69
  6. Step 6: Final answer
    x = 13,041.03

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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.