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Finding the Fourth Proportional to 25,457.76, 35,132.10 and 14,127.48

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Solution

The fourth proportional to 25,457.76, 35,132.10 and 14,127.48 is: 19,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.76 : 35,132.10 = 14,127.48 : x
  2. Step 2: Convert to fraction form
    25,457.76/35,132.10 = 14,127.48/x
  3. Step 3: Cross multiply
    25,457.76x = 35,132.10 × 14,127.48
  4. Step 4: Simplify right side
    25,457.76x = 496,328,040.11
  5. Step 5: Solve for x
    x = 496,328,040.11/25,457.76
  6. Step 6: Final answer
    x = 19,496.14

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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.