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Finding the Fourth Proportional to 24,182.48, 33,344.74 and 15,219

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Solution

The fourth proportional to 24,182.48, 33,344.74 and 15,219 is: 20,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.48 : 33,344.74 = 15,219 : x
  2. Step 2: Convert to fraction form
    24,182.48/33,344.74 = 15,219/x
  3. Step 3: Cross multiply
    24,182.48x = 33,344.74 × 15,219
  4. Step 4: Simplify right side
    24,182.48x = 507,473,598.06
  5. Step 5: Solve for x
    x = 507,473,598.06/24,182.48
  6. Step 6: Final answer
    x = 20,985.18

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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.