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Finding the Fourth Proportional to 24,700.86, 37,051.16 and 9,899.19

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Solution

The fourth proportional to 24,700.86, 37,051.16 and 9,899.19 is: 14,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.86 : 37,051.16 = 9,899.19 : x
  2. Step 2: Convert to fraction form
    24,700.86/37,051.16 = 9,899.19/x
  3. Step 3: Cross multiply
    24,700.86x = 37,051.16 × 9,899.19
  4. Step 4: Simplify right side
    24,700.86x = 366,776,423.06
  5. Step 5: Solve for x
    x = 366,776,423.06/24,700.86
  6. Step 6: Final answer
    x = 14,848.73

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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.