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Finding the Fourth Proportional to 14,492.34, 19,997.52 and 8,203.50

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Solution

The fourth proportional to 14,492.34, 19,997.52 and 8,203.50 is: 11,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.34 : 19,997.52 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    14,492.34/19,997.52 = 8,203.50/x
  3. Step 3: Cross multiply
    14,492.34x = 19,997.52 × 8,203.50
  4. Step 4: Simplify right side
    14,492.34x = 164,049,655.32
  5. Step 5: Solve for x
    x = 164,049,655.32/14,492.34
  6. Step 6: Final answer
    x = 11,319.75

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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.