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Finding the Fourth Proportional to 16,582.40, 22,883.45 and 9,130.40

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Solution

The fourth proportional to 16,582.40, 22,883.45 and 9,130.40 is: 12,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.40 : 22,883.45 = 9,130.40 : x
  2. Step 2: Convert to fraction form
    16,582.40/22,883.45 = 9,130.40/x
  3. Step 3: Cross multiply
    16,582.40x = 22,883.45 × 9,130.40
  4. Step 4: Simplify right side
    16,582.40x = 208,934,891.81
  5. Step 5: Solve for x
    x = 208,934,891.81/16,582.40
  6. Step 6: Final answer
    x = 12,599.80

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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.