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Finding the Fourth Proportional to 14,307.68, 19,743.74 and 8,340.32

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Solution

The fourth proportional to 14,307.68, 19,743.74 and 8,340.32 is: 11,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.68 : 19,743.74 = 8,340.32 : x
  2. Step 2: Convert to fraction form
    14,307.68/19,743.74 = 8,340.32/x
  3. Step 3: Cross multiply
    14,307.68x = 19,743.74 × 8,340.32
  4. Step 4: Simplify right side
    14,307.68x = 164,669,109.60
  5. Step 5: Solve for x
    x = 164,669,109.60/14,307.68
  6. Step 6: Final answer
    x = 11,509.14

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1.5x scale

Why These Related Problems?

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