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Finding the Fourth Proportional to 19,587.40, 27,016.64 and 13,835.60

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Solution

The fourth proportional to 19,587.40, 27,016.64 and 13,835.60 is: 19,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,587.40 : 27,016.64 = 13,835.60 : x
  2. Step 2: Convert to fraction form
    19,587.40/27,016.64 = 13,835.60/x
  3. Step 3: Cross multiply
    19,587.40x = 27,016.64 × 13,835.60
  4. Step 4: Simplify right side
    19,587.40x = 373,791,424.38
  5. Step 5: Solve for x
    x = 373,791,424.38/19,587.40
  6. Step 6: Final answer
    x = 19,083.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.