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Finding the Fourth Proportional to 25,224, 34,810.32 and 14,046

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Solution

The fourth proportional to 25,224, 34,810.32 and 14,046 is: 19,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 34,810.32 = 14,046 : x
  2. Step 2: Convert to fraction form
    25,224/34,810.32 = 14,046/x
  3. Step 3: Cross multiply
    25,224x = 34,810.32 × 14,046
  4. Step 4: Simplify right side
    25,224x = 488,945,754.72
  5. Step 5: Solve for x
    x = 488,945,754.72/25,224
  6. Step 6: Final answer
    x = 19,384.15

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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.