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Finding the Fourth Proportional to 23,577, 32,536.26 and 12,967.32

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Solution

The fourth proportional to 23,577, 32,536.26 and 12,967.32 is: 17,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577 : 32,536.26 = 12,967.32 : x
  2. Step 2: Convert to fraction form
    23,577/32,536.26 = 12,967.32/x
  3. Step 3: Cross multiply
    23,577x = 32,536.26 × 12,967.32
  4. Step 4: Simplify right side
    23,577x = 421,908,095.02
  5. Step 5: Solve for x
    x = 421,908,095.02/23,577
  6. Step 6: Final answer
    x = 17,894.90

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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.