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Finding the Fourth Proportional to 21,005.64, 31,490.52 and 9,312.48

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Solution

The fourth proportional to 21,005.64, 31,490.52 and 9,312.48 is: 13,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.64 : 31,490.52 = 9,312.48 : x
  2. Step 2: Convert to fraction form
    21,005.64/31,490.52 = 9,312.48/x
  3. Step 3: Cross multiply
    21,005.64x = 31,490.52 × 9,312.48
  4. Step 4: Simplify right side
    21,005.64x = 293,254,837.69
  5. Step 5: Solve for x
    x = 293,254,837.69/21,005.64
  6. Step 6: Final answer
    x = 13,960.77

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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.