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Finding the Fourth Proportional to 19,270.86, 28,906.14 and 9,913.50

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Solution

The fourth proportional to 19,270.86, 28,906.14 and 9,913.50 is: 14,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,270.86 : 28,906.14 = 9,913.50 : x
  2. Step 2: Convert to fraction form
    19,270.86/28,906.14 = 9,913.50/x
  3. Step 3: Cross multiply
    19,270.86x = 28,906.14 × 9,913.50
  4. Step 4: Simplify right side
    19,270.86x = 286,561,018.89
  5. Step 5: Solve for x
    x = 286,561,018.89/19,270.86
  6. Step 6: Final answer
    x = 14,870.17

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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.