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Finding the Fourth Proportional to 14,154, 19,532.52 and 7,867.62

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Solution

The fourth proportional to 14,154, 19,532.52 and 7,867.62 is: 10,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154 : 19,532.52 = 7,867.62 : x
  2. Step 2: Convert to fraction form
    14,154/19,532.52 = 7,867.62/x
  3. Step 3: Cross multiply
    14,154x = 19,532.52 × 7,867.62
  4. Step 4: Simplify right side
    14,154x = 153,674,445.00
  5. Step 5: Solve for x
    x = 153,674,445.00/14,154
  6. Step 6: Final answer
    x = 10,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.