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Finding the Fourth Proportional to 25,802.16, 35,607.24 and 14,472.06

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Solution

The fourth proportional to 25,802.16, 35,607.24 and 14,472.06 is: 19,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.16 : 35,607.24 = 14,472.06 : x
  2. Step 2: Convert to fraction form
    25,802.16/35,607.24 = 14,472.06/x
  3. Step 3: Cross multiply
    25,802.16x = 35,607.24 × 14,472.06
  4. Step 4: Simplify right side
    25,802.16x = 515,310,113.71
  5. Step 5: Solve for x
    x = 515,310,113.71/25,802.16
  6. Step 6: Final answer
    x = 19,971.59

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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.