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Finding the Fourth Proportional to 23,232, 32,058 and 13,802.88

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Solution

The fourth proportional to 23,232, 32,058 and 13,802.88 is: 19,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232 : 32,058 = 13,802.88 : x
  2. Step 2: Convert to fraction form
    23,232/32,058 = 13,802.88/x
  3. Step 3: Cross multiply
    23,232x = 32,058 × 13,802.88
  4. Step 4: Simplify right side
    23,232x = 442,492,727.04
  5. Step 5: Solve for x
    x = 442,492,727.04/23,232
  6. Step 6: Final answer
    x = 19,046.69

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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.