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Finding the Fourth Proportional to 18,042.86, 24,898.88 and 9,977.05

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Solution

The fourth proportional to 18,042.86, 24,898.88 and 9,977.05 is: 13,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.86 : 24,898.88 = 9,977.05 : x
  2. Step 2: Convert to fraction form
    18,042.86/24,898.88 = 9,977.05/x
  3. Step 3: Cross multiply
    18,042.86x = 24,898.88 × 9,977.05
  4. Step 4: Simplify right side
    18,042.86x = 248,417,342.71
  5. Step 5: Solve for x
    x = 248,417,342.71/18,042.86
  6. Step 6: Final answer
    x = 13,768.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.