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Finding the Fourth Proportional to 23,095.64, 31,872.12 and 13,024.28

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Solution

The fourth proportional to 23,095.64, 31,872.12 and 13,024.28 is: 17,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.64 : 31,872.12 = 13,024.28 : x
  2. Step 2: Convert to fraction form
    23,095.64/31,872.12 = 13,024.28/x
  3. Step 3: Cross multiply
    23,095.64x = 31,872.12 × 13,024.28
  4. Step 4: Simplify right side
    23,095.64x = 415,111,415.07
  5. Step 5: Solve for x
    x = 415,111,415.07/23,095.64
  6. Step 6: Final answer
    x = 17,973.58

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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.