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Finding the Fourth Proportional to 16,009.65, 24,013.04 and 5,620.77

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Solution

The fourth proportional to 16,009.65, 24,013.04 and 5,620.77 is: 8,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.65 : 24,013.04 = 5,620.77 : x
  2. Step 2: Convert to fraction form
    16,009.65/24,013.04 = 5,620.77/x
  3. Step 3: Cross multiply
    16,009.65x = 24,013.04 × 5,620.77
  4. Step 4: Simplify right side
    16,009.65x = 134,971,746.74
  5. Step 5: Solve for x
    x = 134,971,746.74/16,009.65
  6. Step 6: Final answer
    x = 8,430.65

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