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Finding the Fourth Proportional to 10,492.16, 14,447.98 and 10,259.36

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Solution

The fourth proportional to 10,492.16, 14,447.98 and 10,259.36 is: 14,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.16 : 14,447.98 = 10,259.36 : x
  2. Step 2: Convert to fraction form
    10,492.16/14,447.98 = 10,259.36/x
  3. Step 3: Cross multiply
    10,492.16x = 14,447.98 × 10,259.36
  4. Step 4: Simplify right side
    10,492.16x = 148,227,028.09
  5. Step 5: Solve for x
    x = 148,227,028.09/10,492.16
  6. Step 6: Final answer
    x = 14,127.41

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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.