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Finding the Fourth Proportional to 23,543, 32,492.22 and 13,607

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Solution

The fourth proportional to 23,543, 32,492.22 and 13,607 is: 18,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543 : 32,492.22 = 13,607 : x
  2. Step 2: Convert to fraction form
    23,543/32,492.22 = 13,607/x
  3. Step 3: Cross multiply
    23,543x = 32,492.22 × 13,607
  4. Step 4: Simplify right side
    23,543x = 442,121,637.54
  5. Step 5: Solve for x
    x = 442,121,637.54/23,543
  6. Step 6: Final answer
    x = 18,779.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.