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Finding the Fourth Proportional to 27,577.68, 38,054.88 and 17,507.76

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Solution

The fourth proportional to 27,577.68, 38,054.88 and 17,507.76 is: 24,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.68 : 38,054.88 = 17,507.76 : x
  2. Step 2: Convert to fraction form
    27,577.68/38,054.88 = 17,507.76/x
  3. Step 3: Cross multiply
    27,577.68x = 38,054.88 × 17,507.76
  4. Step 4: Simplify right side
    27,577.68x = 666,255,705.87
  5. Step 5: Solve for x
    x = 666,255,705.87/27,577.68
  6. Step 6: Final answer
    x = 24,159.24

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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.