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Finding the Fourth Proportional to 25,578.75, 35,303.54 and 14,400.75

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Solution

The fourth proportional to 25,578.75, 35,303.54 and 14,400.75 is: 19,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.75 : 35,303.54 = 14,400.75 : x
  2. Step 2: Convert to fraction form
    25,578.75/35,303.54 = 14,400.75/x
  3. Step 3: Cross multiply
    25,578.75x = 35,303.54 × 14,400.75
  4. Step 4: Simplify right side
    25,578.75x = 508,397,453.66
  5. Step 5: Solve for x
    x = 508,397,453.66/25,578.75
  6. Step 6: Final answer
    x = 19,875.77

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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.