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Finding the Fourth Proportional to 19,798.52, 29,678.34 and 9,417.56

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Solution

The fourth proportional to 19,798.52, 29,678.34 and 9,417.56 is: 14,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.52 : 29,678.34 = 9,417.56 : x
  2. Step 2: Convert to fraction form
    19,798.52/29,678.34 = 9,417.56/x
  3. Step 3: Cross multiply
    19,798.52x = 29,678.34 × 9,417.56
  4. Step 4: Simplify right side
    19,798.52x = 279,497,547.65
  5. Step 5: Solve for x
    x = 279,497,547.65/19,798.52
  6. Step 6: Final answer
    x = 14,117.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.