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Finding the Fourth Proportional to 14,492.49, 21,746.73 and 5,733.54

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Solution

The fourth proportional to 14,492.49, 21,746.73 and 5,733.54 is: 8,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.49 : 21,746.73 = 5,733.54 : x
  2. Step 2: Convert to fraction form
    14,492.49/21,746.73 = 5,733.54/x
  3. Step 3: Cross multiply
    14,492.49x = 21,746.73 × 5,733.54
  4. Step 4: Simplify right side
    14,492.49x = 124,685,746.32
  5. Step 5: Solve for x
    x = 124,685,746.32/14,492.49
  6. Step 6: Final answer
    x = 8,603.47

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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.