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Finding the Fourth Proportional to 13,907.44, 20,864.41 and 4,547.90

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Solution

The fourth proportional to 13,907.44, 20,864.41 and 4,547.90 is: 6,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.44 : 20,864.41 = 4,547.90 : x
  2. Step 2: Convert to fraction form
    13,907.44/20,864.41 = 4,547.90/x
  3. Step 3: Cross multiply
    13,907.44x = 20,864.41 × 4,547.90
  4. Step 4: Simplify right side
    13,907.44x = 94,889,250.24
  5. Step 5: Solve for x
    x = 94,889,250.24/13,907.44
  6. Step 6: Final answer
    x = 6,822.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.