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Finding the Fourth Proportional to 14,206.59, 21,307.46 and 6,413.58

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Solution

The fourth proportional to 14,206.59, 21,307.46 and 6,413.58 is: 9,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.59 : 21,307.46 = 6,413.58 : x
  2. Step 2: Convert to fraction form
    14,206.59/21,307.46 = 6,413.58/x
  3. Step 3: Cross multiply
    14,206.59x = 21,307.46 × 6,413.58
  4. Step 4: Simplify right side
    14,206.59x = 136,657,067.24
  5. Step 5: Solve for x
    x = 136,657,067.24/14,206.59
  6. Step 6: Final answer
    x = 9,619.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.