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Finding the Fourth Proportional to 21,460.48, 29,622.72 and 13,516

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Solution

The fourth proportional to 21,460.48, 29,622.72 and 13,516 is: 18,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.48 : 29,622.72 = 13,516 : x
  2. Step 2: Convert to fraction form
    21,460.48/29,622.72 = 13,516/x
  3. Step 3: Cross multiply
    21,460.48x = 29,622.72 × 13,516
  4. Step 4: Simplify right side
    21,460.48x = 400,380,683.52
  5. Step 5: Solve for x
    x = 400,380,683.52/21,460.48
  6. Step 6: Final answer
    x = 18,656.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.