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Finding the Fourth Proportional to 12,716.80, 19,088.16 and 8,828.80

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Solution

The fourth proportional to 12,716.80, 19,088.16 and 8,828.80 is: 13,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.80 : 19,088.16 = 8,828.80 : x
  2. Step 2: Convert to fraction form
    12,716.80/19,088.16 = 8,828.80/x
  3. Step 3: Cross multiply
    12,716.80x = 19,088.16 × 8,828.80
  4. Step 4: Simplify right side
    12,716.80x = 168,525,547.01
  5. Step 5: Solve for x
    x = 168,525,547.01/12,716.80
  6. Step 6: Final answer
    x = 13,252.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.