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Finding the Fourth Proportional to 23,447, 32,356.88 and 12,837.28

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Solution

The fourth proportional to 23,447, 32,356.88 and 12,837.28 is: 17,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447 : 32,356.88 = 12,837.28 : x
  2. Step 2: Convert to fraction form
    23,447/32,356.88 = 12,837.28/x
  3. Step 3: Cross multiply
    23,447x = 32,356.88 × 12,837.28
  4. Step 4: Simplify right side
    23,447x = 415,374,328.49
  5. Step 5: Solve for x
    x = 415,374,328.49/23,447
  6. Step 6: Final answer
    x = 17,715.46

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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.