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Finding the Fourth Proportional to 13,594.63, 20,400.15 and 4,828.86

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Solution

The fourth proportional to 13,594.63, 20,400.15 and 4,828.86 is: 7,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.63 : 20,400.15 = 4,828.86 : x
  2. Step 2: Convert to fraction form
    13,594.63/20,400.15 = 4,828.86/x
  3. Step 3: Cross multiply
    13,594.63x = 20,400.15 × 4,828.86
  4. Step 4: Simplify right side
    13,594.63x = 98,509,444.18
  5. Step 5: Solve for x
    x = 98,509,444.18/13,594.63
  6. Step 6: Final answer
    x = 7,246.20

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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.