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Finding the Fourth Proportional to 14,359.68, 19,687.05 and 14,097.24

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Solution

The fourth proportional to 14,359.68, 19,687.05 and 14,097.24 is: 19,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.68 : 19,687.05 = 14,097.24 : x
  2. Step 2: Convert to fraction form
    14,359.68/19,687.05 = 14,097.24/x
  3. Step 3: Cross multiply
    14,359.68x = 19,687.05 × 14,097.24
  4. Step 4: Simplify right side
    14,359.68x = 277,533,068.74
  5. Step 5: Solve for x
    x = 277,533,068.74/14,359.68
  6. Step 6: Final answer
    x = 19,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.