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Finding the Fourth Proportional to 19,235.16, 28,852.44 and 9,869.77

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Solution

The fourth proportional to 19,235.16, 28,852.44 and 9,869.77 is: 14,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.16 : 28,852.44 = 9,869.77 : x
  2. Step 2: Convert to fraction form
    19,235.16/28,852.44 = 9,869.77/x
  3. Step 3: Cross multiply
    19,235.16x = 28,852.44 × 9,869.77
  4. Step 4: Simplify right side
    19,235.16x = 284,766,897.39
  5. Step 5: Solve for x
    x = 284,766,897.39/19,235.16
  6. Step 6: Final answer
    x = 14,804.50

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Why These Related Problems?

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