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Finding the Fourth Proportional to 24,840.96, 34,283.04 and 14,232

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Solution

The fourth proportional to 24,840.96, 34,283.04 and 14,232 is: 19,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.96 : 34,283.04 = 14,232 : x
  2. Step 2: Convert to fraction form
    24,840.96/34,283.04 = 14,232/x
  3. Step 3: Cross multiply
    24,840.96x = 34,283.04 × 14,232
  4. Step 4: Simplify right side
    24,840.96x = 487,916,225.28
  5. Step 5: Solve for x
    x = 487,916,225.28/24,840.96
  6. Step 6: Final answer
    x = 19,641.60

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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.