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Finding the Fourth Proportional to 25,713.99, 35,482.28 and 14,384.07

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Solution

The fourth proportional to 25,713.99, 35,482.28 and 14,384.07 is: 19,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.99 : 35,482.28 = 14,384.07 : x
  2. Step 2: Convert to fraction form
    25,713.99/35,482.28 = 14,384.07/x
  3. Step 3: Cross multiply
    25,713.99x = 35,482.28 × 14,384.07
  4. Step 4: Simplify right side
    25,713.99x = 510,379,527.36
  5. Step 5: Solve for x
    x = 510,379,527.36/25,713.99
  6. Step 6: Final answer
    x = 19,848.32

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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.