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Finding the Fourth Proportional to 14,898.20, 22,289.70 and 9,714.20

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Solution

The fourth proportional to 14,898.20, 22,289.70 and 9,714.20 is: 14,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.20 : 22,289.70 = 9,714.20 : x
  2. Step 2: Convert to fraction form
    14,898.20/22,289.70 = 9,714.20/x
  3. Step 3: Cross multiply
    14,898.20x = 22,289.70 × 9,714.20
  4. Step 4: Simplify right side
    14,898.20x = 216,526,603.74
  5. Step 5: Solve for x
    x = 216,526,603.74/14,898.20
  6. Step 6: Final answer
    x = 14,533.74

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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.