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Finding the Fourth Proportional to 25,642.98, 35,384.14 and 14,313.10

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Solution

The fourth proportional to 25,642.98, 35,384.14 and 14,313.10 is: 19,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.98 : 35,384.14 = 14,313.10 : x
  2. Step 2: Convert to fraction form
    25,642.98/35,384.14 = 14,313.10/x
  3. Step 3: Cross multiply
    25,642.98x = 35,384.14 × 14,313.10
  4. Step 4: Simplify right side
    25,642.98x = 506,456,734.23
  5. Step 5: Solve for x
    x = 506,456,734.23/25,642.98
  6. Step 6: Final answer
    x = 19,750.31

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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.