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Finding the Fourth Proportional to 24,483.16, 33,784 and 13,870.52

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Solution

The fourth proportional to 24,483.16, 33,784 and 13,870.52 is: 19,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.16 : 33,784 = 13,870.52 : x
  2. Step 2: Convert to fraction form
    24,483.16/33,784 = 13,870.52/x
  3. Step 3: Cross multiply
    24,483.16x = 33,784 × 13,870.52
  4. Step 4: Simplify right side
    24,483.16x = 468,601,647.68
  5. Step 5: Solve for x
    x = 468,601,647.68/24,483.16
  6. Step 6: Final answer
    x = 19,139.75

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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.