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Finding the Fourth Proportional to 19,865.51, 29,772.93 and 9,312.25

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Solution

The fourth proportional to 19,865.51, 29,772.93 and 9,312.25 is: 13,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.51 : 29,772.93 = 9,312.25 : x
  2. Step 2: Convert to fraction form
    19,865.51/29,772.93 = 9,312.25/x
  3. Step 3: Cross multiply
    19,865.51x = 29,772.93 × 9,312.25
  4. Step 4: Simplify right side
    19,865.51x = 277,252,967.39
  5. Step 5: Solve for x
    x = 277,252,967.39/19,865.51
  6. Step 6: Final answer
    x = 13,956.50

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Why These Related Problems?

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