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Finding the Fourth Proportional to 14,492.96, 21,749.18 and 5,132.94

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Solution

The fourth proportional to 14,492.96, 21,749.18 and 5,132.94 is: 7,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.96 : 21,749.18 = 5,132.94 : x
  2. Step 2: Convert to fraction form
    14,492.96/21,749.18 = 5,132.94/x
  3. Step 3: Cross multiply
    14,492.96x = 21,749.18 × 5,132.94
  4. Step 4: Simplify right side
    14,492.96x = 111,637,210.32
  5. Step 5: Solve for x
    x = 111,637,210.32/14,492.96
  6. Step 6: Final answer
    x = 7,702.86

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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.