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Finding the Fourth Proportional to 22,775.84, 31,430.69 and 12,566.63

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Solution

The fourth proportional to 22,775.84, 31,430.69 and 12,566.63 is: 17,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.84 : 31,430.69 = 12,566.63 : x
  2. Step 2: Convert to fraction form
    22,775.84/31,430.69 = 12,566.63/x
  3. Step 3: Cross multiply
    22,775.84x = 31,430.69 × 12,566.63
  4. Step 4: Simplify right side
    22,775.84x = 394,977,961.87
  5. Step 5: Solve for x
    x = 394,977,961.87/22,775.84
  6. Step 6: Final answer
    x = 17,341.98

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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.