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Finding the Fourth Proportional to 12,677.25, 17,495.42 and 7,088.25

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Solution

The fourth proportional to 12,677.25, 17,495.42 and 7,088.25 is: 9,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.25 : 17,495.42 = 7,088.25 : x
  2. Step 2: Convert to fraction form
    12,677.25/17,495.42 = 7,088.25/x
  3. Step 3: Cross multiply
    12,677.25x = 17,495.42 × 7,088.25
  4. Step 4: Simplify right side
    12,677.25x = 124,011,875.37
  5. Step 5: Solve for x
    x = 124,011,875.37/12,677.25
  6. Step 6: Final answer
    x = 9,782.24

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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.