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Finding the Fourth Proportional to 27,835.17, 38,412.63 and 16,510.16

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Solution

The fourth proportional to 27,835.17, 38,412.63 and 16,510.16 is: 22,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.17 : 38,412.63 = 16,510.16 : x
  2. Step 2: Convert to fraction form
    27,835.17/38,412.63 = 16,510.16/x
  3. Step 3: Cross multiply
    27,835.17x = 38,412.63 × 16,510.16
  4. Step 4: Simplify right side
    27,835.17x = 634,198,475.26
  5. Step 5: Solve for x
    x = 634,198,475.26/27,835.17
  6. Step 6: Final answer
    x = 22,784.07

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