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Finding the Fourth Proportional to 15,421, 21,281 and 9,835.24

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Solution

The fourth proportional to 15,421, 21,281 and 9,835.24 is: 13,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,421 : 21,281 = 9,835.24 : x
  2. Step 2: Convert to fraction form
    15,421/21,281 = 9,835.24/x
  3. Step 3: Cross multiply
    15,421x = 21,281 × 9,835.24
  4. Step 4: Simplify right side
    15,421x = 209,303,742.44
  5. Step 5: Solve for x
    x = 209,303,742.44/15,421
  6. Step 6: Final answer
    x = 13,572.64

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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.