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Finding the Fourth Proportional to 24,235.86, 36,354.64 and 6,707

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Solution

The fourth proportional to 24,235.86, 36,354.64 and 6,707 is: 10,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.86 : 36,354.64 = 6,707 : x
  2. Step 2: Convert to fraction form
    24,235.86/36,354.64 = 6,707/x
  3. Step 3: Cross multiply
    24,235.86x = 36,354.64 × 6,707
  4. Step 4: Simplify right side
    24,235.86x = 243,830,570.48
  5. Step 5: Solve for x
    x = 243,830,570.48/24,235.86
  6. Step 6: Final answer
    x = 10,060.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.