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Finding the Fourth Proportional to 13,054.68, 19,587.51 and 5,261.58

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Solution

The fourth proportional to 13,054.68, 19,587.51 and 5,261.58 is: 7,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.68 : 19,587.51 = 5,261.58 : x
  2. Step 2: Convert to fraction form
    13,054.68/19,587.51 = 5,261.58/x
  3. Step 3: Cross multiply
    13,054.68x = 19,587.51 × 5,261.58
  4. Step 4: Simplify right side
    13,054.68x = 103,061,250.87
  5. Step 5: Solve for x
    x = 103,061,250.87/13,054.68
  6. Step 6: Final answer
    x = 7,894.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.