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Finding the Fourth Proportional to 13,929.20, 19,223.88 and 7,642.16

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Solution

The fourth proportional to 13,929.20, 19,223.88 and 7,642.16 is: 10,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.20 : 19,223.88 = 7,642.16 : x
  2. Step 2: Convert to fraction form
    13,929.20/19,223.88 = 7,642.16/x
  3. Step 3: Cross multiply
    13,929.20x = 19,223.88 × 7,642.16
  4. Step 4: Simplify right side
    13,929.20x = 146,911,966.78
  5. Step 5: Solve for x
    x = 146,911,966.78/13,929.20
  6. Step 6: Final answer
    x = 10,547.05

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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.