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Finding the Fourth Proportional to 23,248.51, 32,082.54 and 12,638.06

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Solution

The fourth proportional to 23,248.51, 32,082.54 and 12,638.06 is: 17,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248.51 : 32,082.54 = 12,638.06 : x
  2. Step 2: Convert to fraction form
    23,248.51/32,082.54 = 12,638.06/x
  3. Step 3: Cross multiply
    23,248.51x = 32,082.54 × 12,638.06
  4. Step 4: Simplify right side
    23,248.51x = 405,461,065.47
  5. Step 5: Solve for x
    x = 405,461,065.47/23,248.51
  6. Step 6: Final answer
    x = 17,440.30

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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.