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Finding the Fourth Proportional to 30,698.54, 42,364.05 and 18,124.10

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Solution

The fourth proportional to 30,698.54, 42,364.05 and 18,124.10 is: 25,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.54 : 42,364.05 = 18,124.10 : x
  2. Step 2: Convert to fraction form
    30,698.54/42,364.05 = 18,124.10/x
  3. Step 3: Cross multiply
    30,698.54x = 42,364.05 × 18,124.10
  4. Step 4: Simplify right side
    30,698.54x = 767,810,278.61
  5. Step 5: Solve for x
    x = 767,810,278.61/30,698.54
  6. Step 6: Final answer
    x = 25,011.30

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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.