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Finding the Fourth Proportional to 25,413.86, 35,075.40 and 14,809.80

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Solution

The fourth proportional to 25,413.86, 35,075.40 and 14,809.80 is: 20,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.86 : 35,075.40 = 14,809.80 : x
  2. Step 2: Convert to fraction form
    25,413.86/35,075.40 = 14,809.80/x
  3. Step 3: Cross multiply
    25,413.86x = 35,075.40 × 14,809.80
  4. Step 4: Simplify right side
    25,413.86x = 519,459,658.92
  5. Step 5: Solve for x
    x = 519,459,658.92/25,413.86
  6. Step 6: Final answer
    x = 20,440.01

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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.