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Finding the Fourth Proportional to 21,413.47, 29,548.51 and 12,462.16

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Solution

The fourth proportional to 21,413.47, 29,548.51 and 12,462.16 is: 17,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.47 : 29,548.51 = 12,462.16 : x
  2. Step 2: Convert to fraction form
    21,413.47/29,548.51 = 12,462.16/x
  3. Step 3: Cross multiply
    21,413.47x = 29,548.51 × 12,462.16
  4. Step 4: Simplify right side
    21,413.47x = 368,238,259.38
  5. Step 5: Solve for x
    x = 368,238,259.38/21,413.47
  6. Step 6: Final answer
    x = 17,196.57

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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.