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Finding the Fourth Proportional to 16,547.58, 22,835.43 and 10,969.02

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Solution

The fourth proportional to 16,547.58, 22,835.43 and 10,969.02 is: 15,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.58 : 22,835.43 = 10,969.02 : x
  2. Step 2: Convert to fraction form
    16,547.58/22,835.43 = 10,969.02/x
  3. Step 3: Cross multiply
    16,547.58x = 22,835.43 × 10,969.02
  4. Step 4: Simplify right side
    16,547.58x = 250,482,288.38
  5. Step 5: Solve for x
    x = 250,482,288.38/16,547.58
  6. Step 6: Final answer
    x = 15,137.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.