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Finding the Fourth Proportional to 10,492.17, 14,447.97 and 10,259.34

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Solution

The fourth proportional to 10,492.17, 14,447.97 and 10,259.34 is: 14,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.17 : 14,447.97 = 10,259.34 : x
  2. Step 2: Convert to fraction form
    10,492.17/14,447.97 = 10,259.34/x
  3. Step 3: Cross multiply
    10,492.17x = 14,447.97 × 10,259.34
  4. Step 4: Simplify right side
    10,492.17x = 148,226,636.54
  5. Step 5: Solve for x
    x = 148,226,636.54/10,492.17
  6. Step 6: Final answer
    x = 14,127.36

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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.