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Finding the Fourth Proportional to 14,897.30, 22,354.05 and 6,133.10

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Solution

The fourth proportional to 14,897.30, 22,354.05 and 6,133.10 is: 9,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.30 : 22,354.05 = 6,133.10 : x
  2. Step 2: Convert to fraction form
    14,897.30/22,354.05 = 6,133.10/x
  3. Step 3: Cross multiply
    14,897.30x = 22,354.05 × 6,133.10
  4. Step 4: Simplify right side
    14,897.30x = 137,099,624.06
  5. Step 5: Solve for x
    x = 137,099,624.06/14,897.30
  6. Step 6: Final answer
    x = 9,202.98

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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.