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Finding the Fourth Proportional to 22,307.53, 33,465.84 and 9,160.01

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Solution

The fourth proportional to 22,307.53, 33,465.84 and 9,160.01 is: 13,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.53 : 33,465.84 = 9,160.01 : x
  2. Step 2: Convert to fraction form
    22,307.53/33,465.84 = 9,160.01/x
  3. Step 3: Cross multiply
    22,307.53x = 33,465.84 × 9,160.01
  4. Step 4: Simplify right side
    22,307.53x = 306,547,429.06
  5. Step 5: Solve for x
    x = 306,547,429.06/22,307.53
  6. Step 6: Final answer
    x = 13,741.88

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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.