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Finding the Fourth Proportional to 14,866.02, 22,262.58 and 7,056

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Solution

The fourth proportional to 14,866.02, 22,262.58 and 7,056 is: 10,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.02 : 22,262.58 = 7,056 : x
  2. Step 2: Convert to fraction form
    14,866.02/22,262.58 = 7,056/x
  3. Step 3: Cross multiply
    14,866.02x = 22,262.58 × 7,056
  4. Step 4: Simplify right side
    14,866.02x = 157,084,764.48
  5. Step 5: Solve for x
    x = 157,084,764.48/14,866.02
  6. Step 6: Final answer
    x = 10,566.70

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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.