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Finding the Fourth Proportional to 16,355.99, 22,572 and 9,283.07

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Solution

The fourth proportional to 16,355.99, 22,572 and 9,283.07 is: 12,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.99 : 22,572 = 9,283.07 : x
  2. Step 2: Convert to fraction form
    16,355.99/22,572 = 9,283.07/x
  3. Step 3: Cross multiply
    16,355.99x = 22,572 × 9,283.07
  4. Step 4: Simplify right side
    16,355.99x = 209,537,512.47
  5. Step 5: Solve for x
    x = 209,537,512.47/16,355.99
  6. Step 6: Final answer
    x = 12,811.05

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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.