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Finding the Fourth Proportional to 23,648.82, 32,634.69 and 13,038.46

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Solution

The fourth proportional to 23,648.82, 32,634.69 and 13,038.46 is: 17,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.82 : 32,634.69 = 13,038.46 : x
  2. Step 2: Convert to fraction form
    23,648.82/32,634.69 = 13,038.46/x
  3. Step 3: Cross multiply
    23,648.82x = 32,634.69 × 13,038.46
  4. Step 4: Simplify right side
    23,648.82x = 425,506,100.18
  5. Step 5: Solve for x
    x = 425,506,100.18/23,648.82
  6. Step 6: Final answer
    x = 17,992.70

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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.