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Finding the Fourth Proportional to 30,963, 42,730.56 and 18,216.84

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Solution

The fourth proportional to 30,963, 42,730.56 and 18,216.84 is: 25,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963 : 42,730.56 = 18,216.84 : x
  2. Step 2: Convert to fraction form
    30,963/42,730.56 = 18,216.84/x
  3. Step 3: Cross multiply
    30,963x = 42,730.56 × 18,216.84
  4. Step 4: Simplify right side
    30,963x = 778,415,774.63
  5. Step 5: Solve for x
    x = 778,415,774.63/30,963
  6. Step 6: Final answer
    x = 25,140.19

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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.