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Finding the Fourth Proportional to 30,898.35, 42,646.77 and 18,153

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Solution

The fourth proportional to 30,898.35, 42,646.77 and 18,153 is: 25,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.35 : 42,646.77 = 18,153 : x
  2. Step 2: Convert to fraction form
    30,898.35/42,646.77 = 18,153/x
  3. Step 3: Cross multiply
    30,898.35x = 42,646.77 × 18,153
  4. Step 4: Simplify right side
    30,898.35x = 774,166,815.81
  5. Step 5: Solve for x
    x = 774,166,815.81/30,898.35
  6. Step 6: Final answer
    x = 25,055.28

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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.