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Finding the Fourth Proportional to 19,005.80, 26,225.72 and 10,506.78

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Solution

The fourth proportional to 19,005.80, 26,225.72 and 10,506.78 is: 14,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.80 : 26,225.72 = 10,506.78 : x
  2. Step 2: Convert to fraction form
    19,005.80/26,225.72 = 10,506.78/x
  3. Step 3: Cross multiply
    19,005.80x = 26,225.72 × 10,506.78
  4. Step 4: Simplify right side
    19,005.80x = 275,547,870.38
  5. Step 5: Solve for x
    x = 275,547,870.38/19,005.80
  6. Step 6: Final answer
    x = 14,498.09

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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.