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Finding the Fourth Proportional to 12,023.88, 16,594.77 and 7,307.25

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Solution

The fourth proportional to 12,023.88, 16,594.77 and 7,307.25 is: 10,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.88 : 16,594.77 = 7,307.25 : x
  2. Step 2: Convert to fraction form
    12,023.88/16,594.77 = 7,307.25/x
  3. Step 3: Cross multiply
    12,023.88x = 16,594.77 × 7,307.25
  4. Step 4: Simplify right side
    12,023.88x = 121,262,133.08
  5. Step 5: Solve for x
    x = 121,262,133.08/12,023.88
  6. Step 6: Final answer
    x = 10,085.11

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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.