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Finding the Fourth Proportional to 21,714.69, 32,572.74 and 7,483.02

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Solution

The fourth proportional to 21,714.69, 32,572.74 and 7,483.02 is: 11,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.69 : 32,572.74 = 7,483.02 : x
  2. Step 2: Convert to fraction form
    21,714.69/32,572.74 = 7,483.02/x
  3. Step 3: Cross multiply
    21,714.69x = 32,572.74 × 7,483.02
  4. Step 4: Simplify right side
    21,714.69x = 243,742,464.87
  5. Step 5: Solve for x
    x = 243,742,464.87/21,714.69
  6. Step 6: Final answer
    x = 11,224.77

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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.