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Finding the Fourth Proportional to 56,196.24, 84,294.36 and 14,640

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Solution

The fourth proportional to 56,196.24, 84,294.36 and 14,640 is: 21,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,196.24 : 84,294.36 = 14,640 : x
  2. Step 2: Convert to fraction form
    56,196.24/84,294.36 = 14,640/x
  3. Step 3: Cross multiply
    56,196.24x = 84,294.36 × 14,640
  4. Step 4: Simplify right side
    56,196.24x = 1,234,069,430.40
  5. Step 5: Solve for x
    x = 1,234,069,430.40/56,196.24
  6. Step 6: Final answer
    x = 21,960.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.