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Finding the Fourth Proportional to 19,907.64, 27,413.29 and 19,465.65

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Solution

The fourth proportional to 19,907.64, 27,413.29 and 19,465.65 is: 26,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.64 : 27,413.29 = 19,465.65 : x
  2. Step 2: Convert to fraction form
    19,907.64/27,413.29 = 19,465.65/x
  3. Step 3: Cross multiply
    19,907.64x = 27,413.29 × 19,465.65
  4. Step 4: Simplify right side
    19,907.64x = 533,617,508.49
  5. Step 5: Solve for x
    x = 533,617,508.49/19,907.64
  6. Step 6: Final answer
    x = 26,804.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.