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Finding the Fourth Proportional to 14,657.59, 21,988.23 and 4,658.77

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Solution

The fourth proportional to 14,657.59, 21,988.23 and 4,658.77 is: 6,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.59 : 21,988.23 = 4,658.77 : x
  2. Step 2: Convert to fraction form
    14,657.59/21,988.23 = 4,658.77/x
  3. Step 3: Cross multiply
    14,657.59x = 21,988.23 × 4,658.77
  4. Step 4: Simplify right side
    14,657.59x = 102,438,106.28
  5. Step 5: Solve for x
    x = 102,438,106.28/14,657.59
  6. Step 6: Final answer
    x = 6,988.74

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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.