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Finding the Fourth Proportional to 14,596.56, 21,814.85 and 10,656.11

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Solution

The fourth proportional to 14,596.56, 21,814.85 and 10,656.11 is: 15,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.56 : 21,814.85 = 10,656.11 : x
  2. Step 2: Convert to fraction form
    14,596.56/21,814.85 = 10,656.11/x
  3. Step 3: Cross multiply
    14,596.56x = 21,814.85 × 10,656.11
  4. Step 4: Simplify right side
    14,596.56x = 232,461,441.23
  5. Step 5: Solve for x
    x = 232,461,441.23/14,596.56
  6. Step 6: Final answer
    x = 15,925.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.