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Finding the Fourth Proportional to 16,646.14, 22,980.90 and 11,348.74

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Solution

The fourth proportional to 16,646.14, 22,980.90 and 11,348.74 is: 15,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.14 : 22,980.90 = 11,348.74 : x
  2. Step 2: Convert to fraction form
    16,646.14/22,980.90 = 11,348.74/x
  3. Step 3: Cross multiply
    16,646.14x = 22,980.90 × 11,348.74
  4. Step 4: Simplify right side
    16,646.14x = 260,804,259.07
  5. Step 5: Solve for x
    x = 260,804,259.07/16,646.14
  6. Step 6: Final answer
    x = 15,667.55

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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.