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Finding the Fourth Proportional to 15,145.35, 20,896.38 and 9,094.02

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Solution

The fourth proportional to 15,145.35, 20,896.38 and 9,094.02 is: 12,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.35 : 20,896.38 = 9,094.02 : x
  2. Step 2: Convert to fraction form
    15,145.35/20,896.38 = 9,094.02/x
  3. Step 3: Cross multiply
    15,145.35x = 20,896.38 × 9,094.02
  4. Step 4: Simplify right side
    15,145.35x = 190,032,097.65
  5. Step 5: Solve for x
    x = 190,032,097.65/15,145.35
  6. Step 6: Final answer
    x = 12,547.22

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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.