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Finding the Fourth Proportional to 22,485.30, 31,030.14 and 12,413.71

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Solution

The fourth proportional to 22,485.30, 31,030.14 and 12,413.71 is: 17,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.30 : 31,030.14 = 12,413.71 : x
  2. Step 2: Convert to fraction form
    22,485.30/31,030.14 = 12,413.71/x
  3. Step 3: Cross multiply
    22,485.30x = 31,030.14 × 12,413.71
  4. Step 4: Simplify right side
    22,485.30x = 385,199,159.22
  5. Step 5: Solve for x
    x = 385,199,159.22/22,485.30
  6. Step 6: Final answer
    x = 17,131.16

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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.