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Finding the Fourth Proportional to 22,402, 33,603 and 7,810

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Solution

The fourth proportional to 22,402, 33,603 and 7,810 is: 11,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402 : 33,603 = 7,810 : x
  2. Step 2: Convert to fraction form
    22,402/33,603 = 7,810/x
  3. Step 3: Cross multiply
    22,402x = 33,603 × 7,810
  4. Step 4: Simplify right side
    22,402x = 262,439,430
  5. Step 5: Solve for x
    x = 262,439,430/22,402
  6. Step 6: Final answer
    x = 11,715

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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.