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Finding the Fourth Proportional to 14,594.58, 21,894.30 and 4,731.82

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Solution

The fourth proportional to 14,594.58, 21,894.30 and 4,731.82 is: 7,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.58 : 21,894.30 = 4,731.82 : x
  2. Step 2: Convert to fraction form
    14,594.58/21,894.30 = 4,731.82/x
  3. Step 3: Cross multiply
    14,594.58x = 21,894.30 × 4,731.82
  4. Step 4: Simplify right side
    14,594.58x = 103,599,831.89
  5. Step 5: Solve for x
    x = 103,599,831.89/14,594.58
  6. Step 6: Final answer
    x = 7,098.51

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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.