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Finding the Fourth Proportional to 14,658.47, 21,985.58 and 4,798.14

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Solution

The fourth proportional to 14,658.47, 21,985.58 and 4,798.14 is: 7,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.47 : 21,985.58 = 4,798.14 : x
  2. Step 2: Convert to fraction form
    14,658.47/21,985.58 = 4,798.14/x
  3. Step 3: Cross multiply
    14,658.47x = 21,985.58 × 4,798.14
  4. Step 4: Simplify right side
    14,658.47x = 105,489,890.82
  5. Step 5: Solve for x
    x = 105,489,890.82/14,658.47
  6. Step 6: Final answer
    x = 7,196.51

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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.