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Finding the Fourth Proportional to 12,602.61, 17,385.76 and 8,127.80

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Solution

The fourth proportional to 12,602.61, 17,385.76 and 8,127.80 is: 11,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.61 : 17,385.76 = 8,127.80 : x
  2. Step 2: Convert to fraction form
    12,602.61/17,385.76 = 8,127.80/x
  3. Step 3: Cross multiply
    12,602.61x = 17,385.76 × 8,127.80
  4. Step 4: Simplify right side
    12,602.61x = 141,307,980.13
  5. Step 5: Solve for x
    x = 141,307,980.13/12,602.61
  6. Step 6: Final answer
    x = 11,212.60

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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.