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Finding the Fourth Proportional to 15,774.24, 21,758.04 and 9,480

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Solution

The fourth proportional to 15,774.24, 21,758.04 and 9,480 is: 13,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.24 : 21,758.04 = 9,480 : x
  2. Step 2: Convert to fraction form
    15,774.24/21,758.04 = 9,480/x
  3. Step 3: Cross multiply
    15,774.24x = 21,758.04 × 9,480
  4. Step 4: Simplify right side
    15,774.24x = 206,266,219.20
  5. Step 5: Solve for x
    x = 206,266,219.20/15,774.24
  6. Step 6: Final answer
    x = 13,076.14

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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.