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Finding the Fourth Proportional to 12,605.18, 17,390.10 and 7,569.68

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Solution

The fourth proportional to 12,605.18, 17,390.10 and 7,569.68 is: 10,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.18 : 17,390.10 = 7,569.68 : x
  2. Step 2: Convert to fraction form
    12,605.18/17,390.10 = 7,569.68/x
  3. Step 3: Cross multiply
    12,605.18x = 17,390.10 × 7,569.68
  4. Step 4: Simplify right side
    12,605.18x = 131,637,492.17
  5. Step 5: Solve for x
    x = 131,637,492.17/12,605.18
  6. Step 6: Final answer
    x = 10,443.13

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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.