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Finding the Fourth Proportional to 14,461.76, 21,633.24 and 11,545.76

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Solution

The fourth proportional to 14,461.76, 21,633.24 and 11,545.76 is: 17,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.76 : 21,633.24 = 11,545.76 : x
  2. Step 2: Convert to fraction form
    14,461.76/21,633.24 = 11,545.76/x
  3. Step 3: Cross multiply
    14,461.76x = 21,633.24 × 11,545.76
  4. Step 4: Simplify right side
    14,461.76x = 249,772,197.06
  5. Step 5: Solve for x
    x = 249,772,197.06/14,461.76
  6. Step 6: Final answer
    x = 17,271.22

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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.