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Finding the Fourth Proportional to 21,492.72, 32,249 and 9,809.52

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Solution

The fourth proportional to 21,492.72, 32,249 and 9,809.52 is: 14,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.72 : 32,249 = 9,809.52 : x
  2. Step 2: Convert to fraction form
    21,492.72/32,249 = 9,809.52/x
  3. Step 3: Cross multiply
    21,492.72x = 32,249 × 9,809.52
  4. Step 4: Simplify right side
    21,492.72x = 316,347,210.48
  5. Step 5: Solve for x
    x = 316,347,210.48/21,492.72
  6. Step 6: Final answer
    x = 14,718.81

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Why These Related Problems?

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