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Finding the Fourth Proportional to 14,470.32, 21,707.08 and 4,607.32

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Solution

The fourth proportional to 14,470.32, 21,707.08 and 4,607.32 is: 6,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.32 : 21,707.08 = 4,607.32 : x
  2. Step 2: Convert to fraction form
    14,470.32/21,707.08 = 4,607.32/x
  3. Step 3: Cross multiply
    14,470.32x = 21,707.08 × 4,607.32
  4. Step 4: Simplify right side
    14,470.32x = 100,011,463.83
  5. Step 5: Solve for x
    x = 100,011,463.83/14,470.32
  6. Step 6: Final answer
    x = 6,911.49

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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.