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Finding the Fourth Proportional to 12,866.05, 19,300.47 and 4,098.93

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Solution

The fourth proportional to 12,866.05, 19,300.47 and 4,098.93 is: 6,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.05 : 19,300.47 = 4,098.93 : x
  2. Step 2: Convert to fraction form
    12,866.05/19,300.47 = 4,098.93/x
  3. Step 3: Cross multiply
    12,866.05x = 19,300.47 × 4,098.93
  4. Step 4: Simplify right side
    12,866.05x = 79,111,275.50
  5. Step 5: Solve for x
    x = 79,111,275.50/12,866.05
  6. Step 6: Final answer
    x = 6,148.84

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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.