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Finding the Fourth Proportional to 14,097.16, 19,454.04 and 7,809.52

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Solution

The fourth proportional to 14,097.16, 19,454.04 and 7,809.52 is: 10,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.16 : 19,454.04 = 7,809.52 : x
  2. Step 2: Convert to fraction form
    14,097.16/19,454.04 = 7,809.52/x
  3. Step 3: Cross multiply
    14,097.16x = 19,454.04 × 7,809.52
  4. Step 4: Simplify right side
    14,097.16x = 151,926,714.46
  5. Step 5: Solve for x
    x = 151,926,714.46/14,097.16
  6. Step 6: Final answer
    x = 10,777.11

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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.