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Finding the Fourth Proportional to 14,466.40, 21,712.64 and 7,545.76

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Solution

The fourth proportional to 14,466.40, 21,712.64 and 7,545.76 is: 11,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.40 : 21,712.64 = 7,545.76 : x
  2. Step 2: Convert to fraction form
    14,466.40/21,712.64 = 7,545.76/x
  3. Step 3: Cross multiply
    14,466.40x = 21,712.64 × 7,545.76
  4. Step 4: Simplify right side
    14,466.40x = 163,838,370.41
  5. Step 5: Solve for x
    x = 163,838,370.41/14,466.40
  6. Step 6: Final answer
    x = 11,325.44

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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.