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Finding the Fourth Proportional to 14,900.76, 20,567.34 and 9,237.24

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Solution

The fourth proportional to 14,900.76, 20,567.34 and 9,237.24 is: 12,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.76 : 20,567.34 = 9,237.24 : x
  2. Step 2: Convert to fraction form
    14,900.76/20,567.34 = 9,237.24/x
  3. Step 3: Cross multiply
    14,900.76x = 20,567.34 × 9,237.24
  4. Step 4: Simplify right side
    14,900.76x = 189,985,455.74
  5. Step 5: Solve for x
    x = 189,985,455.74/14,900.76
  6. Step 6: Final answer
    x = 12,750.05

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