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Finding the Fourth Proportional to 15,130.86, 20,880.99 and 8,417.16

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Solution

The fourth proportional to 15,130.86, 20,880.99 and 8,417.16 is: 11,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.86 : 20,880.99 = 8,417.16 : x
  2. Step 2: Convert to fraction form
    15,130.86/20,880.99 = 8,417.16/x
  3. Step 3: Cross multiply
    15,130.86x = 20,880.99 × 8,417.16
  4. Step 4: Simplify right side
    15,130.86x = 175,758,633.79
  5. Step 5: Solve for x
    x = 175,758,633.79/15,130.86
  6. Step 6: Final answer
    x = 11,615.91

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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.