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Finding the Fourth Proportional to 13,835.52, 19,093.14 and 7,547.94

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Solution

The fourth proportional to 13,835.52, 19,093.14 and 7,547.94 is: 10,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.52 : 19,093.14 = 7,547.94 : x
  2. Step 2: Convert to fraction form
    13,835.52/19,093.14 = 7,547.94/x
  3. Step 3: Cross multiply
    13,835.52x = 19,093.14 × 7,547.94
  4. Step 4: Simplify right side
    13,835.52x = 144,113,875.13
  5. Step 5: Solve for x
    x = 144,113,875.13/13,835.52
  6. Step 6: Final answer
    x = 10,416.22

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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.