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Finding the Fourth Proportional to 13,835.58, 19,093.05 and 7,547.94

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Solution

The fourth proportional to 13,835.58, 19,093.05 and 7,547.94 is: 10,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.58 : 19,093.05 = 7,547.94 : x
  2. Step 2: Convert to fraction form
    13,835.58/19,093.05 = 7,547.94/x
  3. Step 3: Cross multiply
    13,835.58x = 19,093.05 × 7,547.94
  4. Step 4: Simplify right side
    13,835.58x = 144,113,195.82
  5. Step 5: Solve for x
    x = 144,113,195.82/13,835.58
  6. Step 6: Final answer
    x = 10,416.13

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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.