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Finding the Fourth Proportional to 14,564.40, 21,854.88 and 5,678.58

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Solution

The fourth proportional to 14,564.40, 21,854.88 and 5,678.58 is: 8,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.40 : 21,854.88 = 5,678.58 : x
  2. Step 2: Convert to fraction form
    14,564.40/21,854.88 = 5,678.58/x
  3. Step 3: Cross multiply
    14,564.40x = 21,854.88 × 5,678.58
  4. Step 4: Simplify right side
    14,564.40x = 124,104,684.47
  5. Step 5: Solve for x
    x = 124,104,684.47/14,564.40
  6. Step 6: Final answer
    x = 8,521.10

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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.