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Finding the Fourth Proportional to 23,548.73, 32,497.16 and 13,477.13

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Solution

The fourth proportional to 23,548.73, 32,497.16 and 13,477.13 is: 18,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.73 : 32,497.16 = 13,477.13 : x
  2. Step 2: Convert to fraction form
    23,548.73/32,497.16 = 13,477.13/x
  3. Step 3: Cross multiply
    23,548.73x = 32,497.16 × 13,477.13
  4. Step 4: Simplify right side
    23,548.73x = 437,968,220.08
  5. Step 5: Solve for x
    x = 437,968,220.08/23,548.73
  6. Step 6: Final answer
    x = 18,598.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.