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Finding the Fourth Proportional to 19,959.71, 27,547.70 and 12,006.32

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Solution

The fourth proportional to 19,959.71, 27,547.70 and 12,006.32 is: 16,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,959.71 : 27,547.70 = 12,006.32 : x
  2. Step 2: Convert to fraction form
    19,959.71/27,547.70 = 12,006.32/x
  3. Step 3: Cross multiply
    19,959.71x = 27,547.70 × 12,006.32
  4. Step 4: Simplify right side
    19,959.71x = 330,746,501.46
  5. Step 5: Solve for x
    x = 330,746,501.46/19,959.71
  6. Step 6: Final answer
    x = 16,570.71

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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.