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Finding the Fourth Proportional to 14,716.68, 20,307.47 and 9,051.74

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Solution

The fourth proportional to 14,716.68, 20,307.47 and 9,051.74 is: 12,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.68 : 20,307.47 = 9,051.74 : x
  2. Step 2: Convert to fraction form
    14,716.68/20,307.47 = 9,051.74/x
  3. Step 3: Cross multiply
    14,716.68x = 20,307.47 × 9,051.74
  4. Step 4: Simplify right side
    14,716.68x = 183,817,938.50
  5. Step 5: Solve for x
    x = 183,817,938.50/14,716.68
  6. Step 6: Final answer
    x = 12,490.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.