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Finding the Fourth Proportional to 27,068.94, 40,602.47 and 9,538.38

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Solution

The fourth proportional to 27,068.94, 40,602.47 and 9,538.38 is: 14,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,068.94 : 40,602.47 = 9,538.38 : x
  2. Step 2: Convert to fraction form
    27,068.94/40,602.47 = 9,538.38/x
  3. Step 3: Cross multiply
    27,068.94x = 40,602.47 × 9,538.38
  4. Step 4: Simplify right side
    27,068.94x = 387,281,740.11
  5. Step 5: Solve for x
    x = 387,281,740.11/27,068.94
  6. Step 6: Final answer
    x = 14,307.24

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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.