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Finding the Fourth Proportional to 25,555.85, 35,272.16 and 14,802.50

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Solution

The fourth proportional to 25,555.85, 35,272.16 and 14,802.50 is: 20,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,555.85 : 35,272.16 = 14,802.50 : x
  2. Step 2: Convert to fraction form
    25,555.85/35,272.16 = 14,802.50/x
  3. Step 3: Cross multiply
    25,555.85x = 35,272.16 × 14,802.50
  4. Step 4: Simplify right side
    25,555.85x = 522,116,019.67
  5. Step 5: Solve for x
    x = 522,116,019.67/25,555.85
  6. Step 6: Final answer
    x = 20,430.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.