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Finding the Fourth Proportional to 12,329.10, 17,008.92 and 7,547.24

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Solution

The fourth proportional to 12,329.10, 17,008.92 and 7,547.24 is: 10,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.10 : 17,008.92 = 7,547.24 : x
  2. Step 2: Convert to fraction form
    12,329.10/17,008.92 = 7,547.24/x
  3. Step 3: Cross multiply
    12,329.10x = 17,008.92 × 7,547.24
  4. Step 4: Simplify right side
    12,329.10x = 128,370,316.34
  5. Step 5: Solve for x
    x = 128,370,316.34/12,329.10
  6. Step 6: Final answer
    x = 10,411.98

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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.