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Finding the Fourth Proportional to 15,782.84, 23,642 and 9,840.24

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Solution

The fourth proportional to 15,782.84, 23,642 and 9,840.24 is: 14,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.84 : 23,642 = 9,840.24 : x
  2. Step 2: Convert to fraction form
    15,782.84/23,642 = 9,840.24/x
  3. Step 3: Cross multiply
    15,782.84x = 23,642 × 9,840.24
  4. Step 4: Simplify right side
    15,782.84x = 232,642,954.08
  5. Step 5: Solve for x
    x = 232,642,954.08/15,782.84
  6. Step 6: Final answer
    x = 14,740.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.