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Finding the Fourth Proportional to 30,663.67, 42,312.07 and 17,745.16

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Solution

The fourth proportional to 30,663.67, 42,312.07 and 17,745.16 is: 24,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.67 : 42,312.07 = 17,745.16 : x
  2. Step 2: Convert to fraction form
    30,663.67/42,312.07 = 17,745.16/x
  3. Step 3: Cross multiply
    30,663.67x = 42,312.07 × 17,745.16
  4. Step 4: Simplify right side
    30,663.67x = 750,834,368.48
  5. Step 5: Solve for x
    x = 750,834,368.48/30,663.67
  6. Step 6: Final answer
    x = 24,486.12

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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.