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Finding the Fourth Proportional to 21,031.93, 31,538.67 and 7,875.08

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Solution

The fourth proportional to 21,031.93, 31,538.67 and 7,875.08 is: 11,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.93 : 31,538.67 = 7,875.08 : x
  2. Step 2: Convert to fraction form
    21,031.93/31,538.67 = 7,875.08/x
  3. Step 3: Cross multiply
    21,031.93x = 31,538.67 × 7,875.08
  4. Step 4: Simplify right side
    21,031.93x = 248,369,502.56
  5. Step 5: Solve for x
    x = 248,369,502.56/21,031.93
  6. Step 6: Final answer
    x = 11,809.16

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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.