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Finding the Fourth Proportional to 25,824, 35,637.12 and 14,048

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Solution

The fourth proportional to 25,824, 35,637.12 and 14,048 is: 19,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 35,637.12 = 14,048 : x
  2. Step 2: Convert to fraction form
    25,824/35,637.12 = 14,048/x
  3. Step 3: Cross multiply
    25,824x = 35,637.12 × 14,048
  4. Step 4: Simplify right side
    25,824x = 500,630,261.76
  5. Step 5: Solve for x
    x = 500,630,261.76/25,824
  6. Step 6: Final answer
    x = 19,386.24

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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.