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Finding the Fourth Proportional to 23,577.65, 32,536.51 and 12,967.28

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Solution

The fourth proportional to 23,577.65, 32,536.51 and 12,967.28 is: 17,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.65 : 32,536.51 = 12,967.28 : x
  2. Step 2: Convert to fraction form
    23,577.65/32,536.51 = 12,967.28/x
  3. Step 3: Cross multiply
    23,577.65x = 32,536.51 × 12,967.28
  4. Step 4: Simplify right side
    23,577.65x = 421,909,840.29
  5. Step 5: Solve for x
    x = 421,909,840.29/23,577.65
  6. Step 6: Final answer
    x = 17,894.49

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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.