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Finding the Fourth Proportional to 14,588.10, 21,887.55 and 5,829.30

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Solution

The fourth proportional to 14,588.10, 21,887.55 and 5,829.30 is: 8,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.10 : 21,887.55 = 5,829.30 : x
  2. Step 2: Convert to fraction form
    14,588.10/21,887.55 = 5,829.30/x
  3. Step 3: Cross multiply
    14,588.10x = 21,887.55 × 5,829.30
  4. Step 4: Simplify right side
    14,588.10x = 127,589,095.22
  5. Step 5: Solve for x
    x = 127,589,095.22/14,588.10
  6. Step 6: Final answer
    x = 8,746.11

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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.