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Finding the Fourth Proportional to 25,827.84, 35,637.68 and 17,342.28

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Solution

The fourth proportional to 25,827.84, 35,637.68 and 17,342.28 is: 23,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.84 : 35,637.68 = 17,342.28 : x
  2. Step 2: Convert to fraction form
    25,827.84/35,637.68 = 17,342.28/x
  3. Step 3: Cross multiply
    25,827.84x = 35,637.68 × 17,342.28
  4. Step 4: Simplify right side
    25,827.84x = 618,038,625.11
  5. Step 5: Solve for x
    x = 618,038,625.11/25,827.84
  6. Step 6: Final answer
    x = 23,929.16

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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.