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Finding the Fourth Proportional to 16,302.89, 22,501.40 and 9,931.56

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Solution

The fourth proportional to 16,302.89, 22,501.40 and 9,931.56 is: 13,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.89 : 22,501.40 = 9,931.56 : x
  2. Step 2: Convert to fraction form
    16,302.89/22,501.40 = 9,931.56/x
  3. Step 3: Cross multiply
    16,302.89x = 22,501.40 × 9,931.56
  4. Step 4: Simplify right side
    16,302.89x = 223,473,954.53
  5. Step 5: Solve for x
    x = 223,473,954.53/16,302.89
  6. Step 6: Final answer
    x = 13,707.63

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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.