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Finding the Fourth Proportional to 22,851, 34,281.54 and 9,714.60

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Solution

The fourth proportional to 22,851, 34,281.54 and 9,714.60 is: 14,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851 : 34,281.54 = 9,714.60 : x
  2. Step 2: Convert to fraction form
    22,851/34,281.54 = 9,714.60/x
  3. Step 3: Cross multiply
    22,851x = 34,281.54 × 9,714.60
  4. Step 4: Simplify right side
    22,851x = 333,031,448.48
  5. Step 5: Solve for x
    x = 333,031,448.48/22,851
  6. Step 6: Final answer
    x = 14,574.04

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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.