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Finding the Fourth Proportional to 22,969.50, 31,700.34 and 14,586

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Solution

The fourth proportional to 22,969.50, 31,700.34 and 14,586 is: 20,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.50 : 31,700.34 = 14,586 : x
  2. Step 2: Convert to fraction form
    22,969.50/31,700.34 = 14,586/x
  3. Step 3: Cross multiply
    22,969.50x = 31,700.34 × 14,586
  4. Step 4: Simplify right side
    22,969.50x = 462,381,159.24
  5. Step 5: Solve for x
    x = 462,381,159.24/22,969.50
  6. Step 6: Final answer
    x = 20,130.22

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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.