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Finding the Fourth Proportional to 14,648.15, 21,971.32 and 6,322.32

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Solution

The fourth proportional to 14,648.15, 21,971.32 and 6,322.32 is: 9,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.15 : 21,971.32 = 6,322.32 : x
  2. Step 2: Convert to fraction form
    14,648.15/21,971.32 = 6,322.32/x
  3. Step 3: Cross multiply
    14,648.15x = 21,971.32 × 6,322.32
  4. Step 4: Simplify right side
    14,648.15x = 138,909,700.06
  5. Step 5: Solve for x
    x = 138,909,700.06/14,648.15
  6. Step 6: Final answer
    x = 9,483.09

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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.