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Finding the Fourth Proportional to 14,992.26, 22,457.61 and 7,102.05

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Solution

The fourth proportional to 14,992.26, 22,457.61 and 7,102.05 is: 10,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.26 : 22,457.61 = 7,102.05 : x
  2. Step 2: Convert to fraction form
    14,992.26/22,457.61 = 7,102.05/x
  3. Step 3: Cross multiply
    14,992.26x = 22,457.61 × 7,102.05
  4. Step 4: Simplify right side
    14,992.26x = 159,495,069.10
  5. Step 5: Solve for x
    x = 159,495,069.10/14,992.26
  6. Step 6: Final answer
    x = 10,638.49

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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.