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Finding the Fourth Proportional to 25,444.16, 35,111.04 and 14,264

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Solution

The fourth proportional to 25,444.16, 35,111.04 and 14,264 is: 19,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.16 : 35,111.04 = 14,264 : x
  2. Step 2: Convert to fraction form
    25,444.16/35,111.04 = 14,264/x
  3. Step 3: Cross multiply
    25,444.16x = 35,111.04 × 14,264
  4. Step 4: Simplify right side
    25,444.16x = 500,823,874.56
  5. Step 5: Solve for x
    x = 500,823,874.56/25,444.16
  6. Step 6: Final answer
    x = 19,683.25

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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.