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Finding the Fourth Proportional to 16,536.16, 24,802.08 and 7,300

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Solution

The fourth proportional to 16,536.16, 24,802.08 and 7,300 is: 10,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.16 : 24,802.08 = 7,300 : x
  2. Step 2: Convert to fraction form
    16,536.16/24,802.08 = 7,300/x
  3. Step 3: Cross multiply
    16,536.16x = 24,802.08 × 7,300
  4. Step 4: Simplify right side
    16,536.16x = 181,055,184
  5. Step 5: Solve for x
    x = 181,055,184/16,536.16
  6. Step 6: Final answer
    x = 10,949.05

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