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Finding the Fourth Proportional to 16,382.51, 24,573.69 and 4,695.69

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Solution

The fourth proportional to 16,382.51, 24,573.69 and 4,695.69 is: 7,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.51 : 24,573.69 = 4,695.69 : x
  2. Step 2: Convert to fraction form
    16,382.51/24,573.69 = 4,695.69/x
  3. Step 3: Cross multiply
    16,382.51x = 24,573.69 × 4,695.69
  4. Step 4: Simplify right side
    16,382.51x = 115,390,430.40
  5. Step 5: Solve for x
    x = 115,390,430.40/16,382.51
  6. Step 6: Final answer
    x = 7,043.52

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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.