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Finding the Fourth Proportional to 23,525.84, 32,465.53 and 12,770.93

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Solution

The fourth proportional to 23,525.84, 32,465.53 and 12,770.93 is: 17,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.84 : 32,465.53 = 12,770.93 : x
  2. Step 2: Convert to fraction form
    23,525.84/32,465.53 = 12,770.93/x
  3. Step 3: Cross multiply
    23,525.84x = 32,465.53 × 12,770.93
  4. Step 4: Simplify right side
    23,525.84x = 414,615,108.17
  5. Step 5: Solve for x
    x = 414,615,108.17/23,525.84
  6. Step 6: Final answer
    x = 17,623.82

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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.