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Finding the Fourth Proportional to 19,464, 29,198.88 and 9,070.08

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Solution

The fourth proportional to 19,464, 29,198.88 and 9,070.08 is: 13,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 29,198.88 = 9,070.08 : x
  2. Step 2: Convert to fraction form
    19,464/29,198.88 = 9,070.08/x
  3. Step 3: Cross multiply
    19,464x = 29,198.88 × 9,070.08
  4. Step 4: Simplify right side
    19,464x = 264,836,177.51
  5. Step 5: Solve for x
    x = 264,836,177.51/19,464
  6. Step 6: Final answer
    x = 13,606.46

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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.