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Finding the Fourth Proportional to 21,567.60, 29,762.45 and 12,007.86

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Solution

The fourth proportional to 21,567.60, 29,762.45 and 12,007.86 is: 16,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.60 : 29,762.45 = 12,007.86 : x
  2. Step 2: Convert to fraction form
    21,567.60/29,762.45 = 12,007.86/x
  3. Step 3: Cross multiply
    21,567.60x = 29,762.45 × 12,007.86
  4. Step 4: Simplify right side
    21,567.60x = 357,383,441.20
  5. Step 5: Solve for x
    x = 357,383,441.20/21,567.60
  6. Step 6: Final answer
    x = 16,570.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.