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Finding the Fourth Proportional to 19,102.84, 28,646.97 and 7,413.32

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Solution

The fourth proportional to 19,102.84, 28,646.97 and 7,413.32 is: 11,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.84 : 28,646.97 = 7,413.32 : x
  2. Step 2: Convert to fraction form
    19,102.84/28,646.97 = 7,413.32/x
  3. Step 3: Cross multiply
    19,102.84x = 28,646.97 × 7,413.32
  4. Step 4: Simplify right side
    19,102.84x = 212,369,199.46
  5. Step 5: Solve for x
    x = 212,369,199.46/19,102.84
  6. Step 6: Final answer
    x = 11,117.15

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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.