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Finding the Fourth Proportional to 14,477.84, 21,700.12 and 6,145.52

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Solution

The fourth proportional to 14,477.84, 21,700.12 and 6,145.52 is: 9,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.84 : 21,700.12 = 6,145.52 : x
  2. Step 2: Convert to fraction form
    14,477.84/21,700.12 = 6,145.52/x
  3. Step 3: Cross multiply
    14,477.84x = 21,700.12 × 6,145.52
  4. Step 4: Simplify right side
    14,477.84x = 133,358,521.46
  5. Step 5: Solve for x
    x = 133,358,521.46/14,477.84
  6. Step 6: Final answer
    x = 9,211.22

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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.