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Finding the Fourth Proportional to 12,594.36, 18,875.14 and 7,848.57

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Solution

The fourth proportional to 12,594.36, 18,875.14 and 7,848.57 is: 11,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.36 : 18,875.14 = 7,848.57 : x
  2. Step 2: Convert to fraction form
    12,594.36/18,875.14 = 7,848.57/x
  3. Step 3: Cross multiply
    12,594.36x = 18,875.14 × 7,848.57
  4. Step 4: Simplify right side
    12,594.36x = 148,142,857.55
  5. Step 5: Solve for x
    x = 148,142,857.55/12,594.36
  6. Step 6: Final answer
    x = 11,762.63

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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.