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Finding the Fourth Proportional to 13,948.77, 19,242.16 and 8,907.69

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Solution

The fourth proportional to 13,948.77, 19,242.16 and 8,907.69 is: 12,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.77 : 19,242.16 = 8,907.69 : x
  2. Step 2: Convert to fraction form
    13,948.77/19,242.16 = 8,907.69/x
  3. Step 3: Cross multiply
    13,948.77x = 19,242.16 × 8,907.69
  4. Step 4: Simplify right side
    13,948.77x = 171,403,196.21
  5. Step 5: Solve for x
    x = 171,403,196.21/13,948.77
  6. Step 6: Final answer
    x = 12,288.05

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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.