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Finding the Fourth Proportional to 13,907.12, 20,865.34 and 4,547.57

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Solution

The fourth proportional to 13,907.12, 20,865.34 and 4,547.57 is: 6,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.12 : 20,865.34 = 4,547.57 : x
  2. Step 2: Convert to fraction form
    13,907.12/20,865.34 = 4,547.57/x
  3. Step 3: Cross multiply
    13,907.12x = 20,865.34 × 4,547.57
  4. Step 4: Simplify right side
    13,907.12x = 94,886,617.46
  5. Step 5: Solve for x
    x = 94,886,617.46/13,907.12
  6. Step 6: Final answer
    x = 6,822.88

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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.