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Finding the Fourth Proportional to 19,852.48, 29,754.42 and 9,316

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Solution

The fourth proportional to 19,852.48, 29,754.42 and 9,316 is: 13,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.48 : 29,754.42 = 9,316 : x
  2. Step 2: Convert to fraction form
    19,852.48/29,754.42 = 9,316/x
  3. Step 3: Cross multiply
    19,852.48x = 29,754.42 × 9,316
  4. Step 4: Simplify right side
    19,852.48x = 277,192,176.72
  5. Step 5: Solve for x
    x = 277,192,176.72/19,852.48
  6. Step 6: Final answer
    x = 13,962.60

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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.